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Math.NET Numerics: 5.0.0-alpha03 api update

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  1. 168
      api/MathNet.Numerics/SpecialFunctions.htm

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api/MathNet.Numerics/SpecialFunctions.htm
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@ -333,6 +333,8 @@
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#KelvinKerPrime">KelvinKerPrime</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#Logistic">Logistic</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#Logit">Logit</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#MarcumQ">MarcumQ</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#MarcumQ">MarcumQ</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#Multinomial">Multinomial</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#RisingFactorial">RisingFactorial</a></li>
<li><a href="../MathNet.Numerics/SpecialFunctions.htm#SphericalBesselJ">SphericalBesselJ</a></li>
@ -632,41 +634,41 @@
</div>
</div>
<div id="AiryBiScaled" class="method">
<h4><span title="System.double">double</span> <strong>AiryBiScaled</strong>(<span title="System.double">double</span> z)</h4>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>AiryBiScaled</strong>(<span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the exponentially scaled Airy function Bi. <p>ScaledAiryBi(z) is given by Exp(-Abs(zta.Real)) * AiryBi(z) where zta = (2 / 3) * z * Sqrt(z). </p>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the Airy function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>The exponentially scaled Airy function Bi. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The exponentially scaled Airy function Bi(z). </p>
</div>
</div>
</div>
<div id="AiryBiScaled" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>AiryBiScaled</strong>(<span title="System.Numerics.Complex">Complex</span> z)</h4>
<h4><span title="System.double">double</span> <strong>AiryBiScaled</strong>(<span title="System.double">double</span> z)</h4>
<div class="content">Returns the exponentially scaled Airy function Bi. <p>ScaledAiryBi(z) is given by Exp(-Abs(zta.Real)) * AiryBi(z) where zta = (2 / 3) * z * Sqrt(z). </p>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the Airy function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The exponentially scaled Airy function Bi(z). </p>
<h6><code><span title="System.double">double</span></code></h6>
<p>The exponentially scaled Airy function Bi. </p>
</div>
</div>
@ -825,7 +827,7 @@ in each interval.
</div>
</div>
<div id="BesselJ" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselJ</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<h4><span title="System.double">double</span> <strong>BesselJ</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the Bessel function of the first kind. <p>BesselJ(n, z) is a solution to the Bessel differential equation. </p>
@ -834,20 +836,20 @@ in each interval.
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<h6><code><span title="System.double">double</span></code></h6>
<p>The Bessel function of the first kind. </p>
</div>
</div>
</div>
<div id="BesselJ" class="method">
<h4><span title="System.double">double</span> <strong>BesselJ</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselJ</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the Bessel function of the first kind. <p>BesselJ(n, z) is a solution to the Bessel differential equation. </p>
@ -856,13 +858,13 @@ in each interval.
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The Bessel function of the first kind. </p>
</div>
@ -1025,7 +1027,7 @@ of the second kind of order 1 of the argument..
</div>
</div>
<div id="BesselKScaled" class="method">
<h4><span title="System.double">double</span> <strong>BesselKScaled</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselKScaled</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the exponentially scaled modified Bessel function of the second kind. <p>ScaledBesselK(n, z) is given by Exp(z) * BesselK(n, z). </p>
@ -1034,20 +1036,20 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the modified Bessel function. </p>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the modified Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The exponentially scaled modified Bessel function of the second kind. </p>
</div>
</div>
</div>
<div id="BesselKScaled" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselKScaled</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<h4><span title="System.double">double</span> <strong>BesselKScaled</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the exponentially scaled modified Bessel function of the second kind. <p>ScaledBesselK(n, z) is given by Exp(z) * BesselK(n, z). </p>
@ -1056,20 +1058,20 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the modified Bessel function. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the modified Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<h6><code><span title="System.double">double</span></code></h6>
<p>The exponentially scaled modified Bessel function of the second kind. </p>
</div>
</div>
</div>
<div id="BesselY" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselY</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<h4><span title="System.double">double</span> <strong>BesselY</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the Bessel function of the second kind. <p>BesselY(n, z) is a solution to the Bessel differential equation. </p>
@ -1078,20 +1080,20 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<h6><code><span title="System.double">double</span></code></h6>
<p>The Bessel function of the second kind. </p>
</div>
</div>
</div>
<div id="BesselY" class="method">
<h4><span title="System.double">double</span> <strong>BesselY</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselY</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the Bessel function of the second kind. <p>BesselY(n, z) is a solution to the Bessel differential equation. </p>
@ -1100,21 +1102,21 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The Bessel function of the second kind. </p>
</div>
</div>
</div>
<div id="BesselYScaled" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselYScaled</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the exponentially scaled Bessel function of the second kind. <p>ScaledBesselY(n, z) is given by Exp(-Abs(z.Imaginary)) * Y(n, z). </p>
<h4><span title="System.double">double</span> <strong>BesselYScaled</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the exponentially scaled Bessel function of the second kind. <p>ScaledBesselY(n, z) is given by Exp(-Abs(z.Imaginary)) * BesselY(n, z). </p>
<div class="parameters">
@ -1122,21 +1124,21 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<h6><code><span title="System.double">double</span></code></h6>
<p>The exponentially scaled Bessel function of the second kind. </p>
</div>
</div>
</div>
<div id="BesselYScaled" class="method">
<h4><span title="System.double">double</span> <strong>BesselYScaled</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the exponentially scaled Bessel function of the second kind. <p>ScaledBesselY(n, z) is given by Exp(-Abs(z.Imaginary)) * BesselY(n, z). </p>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>BesselYScaled</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the exponentially scaled Bessel function of the second kind. <p>ScaledBesselY(n, z) is given by Exp(-Abs(z.Imaginary)) * Y(n, z). </p>
<div class="parameters">
@ -1144,13 +1146,13 @@ of the second kind of order 1 of the argument..
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the Bessel function. </p>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The exponentially scaled Bessel function of the second kind. </p>
</div>
@ -1846,22 +1848,22 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="Hypotenuse" class="method">
<h4><a href="../MathNet.Numerics/Complex32.htm">Complex32</a> <strong>Hypotenuse</strong>(<a href="../MathNet.Numerics/Complex32.htm">Complex32</a> a, <a href="../MathNet.Numerics/Complex32.htm">Complex32</a> b)</h4>
<h4><span title="System.float">float</span> <strong>Hypotenuse</strong>(<span title="System.float">float</span> a, <span title="System.float">float</span> b)</h4>
<div class="content">Numerically stable hypotenuse of a right angle triangle, i.e. <code>(a,b) -> sqrt(a^2 + b^2)</code>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code> a</h6>
<h6><code><span title="System.float">float</span></code> a</h6>
<p class="comments">The length of side a of the triangle. </p>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code> b</h6>
<h6><code><span title="System.float">float</span></code> b</h6>
<p class="comments">The length of side b of the triangle. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code></h6>
<h6><code><span title="System.float">float</span></code></h6>
<p>Returns <code>sqrt(a2 + b2)</code> without underflow/overflow. </p>
</div>
@ -1890,22 +1892,22 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="Hypotenuse" class="method">
<h4><span title="System.float">float</span> <strong>Hypotenuse</strong>(<span title="System.float">float</span> a, <span title="System.float">float</span> b)</h4>
<h4><a href="../MathNet.Numerics/Complex32.htm">Complex32</a> <strong>Hypotenuse</strong>(<a href="../MathNet.Numerics/Complex32.htm">Complex32</a> a, <a href="../MathNet.Numerics/Complex32.htm">Complex32</a> b)</h4>
<div class="content">Numerically stable hypotenuse of a right angle triangle, i.e. <code>(a,b) -> sqrt(a^2 + b^2)</code>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.float">float</span></code> a</h6>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code> a</h6>
<p class="comments">The length of side a of the triangle. </p>
<h6><code><span title="System.float">float</span></code> b</h6>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code> b</h6>
<p class="comments">The length of side b of the triangle. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.float">float</span></code></h6>
<h6><code><a href="../MathNet.Numerics/Complex32.htm">Complex32</a></code></h6>
<p>Returns <code>sqrt(a2 + b2)</code> without underflow/overflow. </p>
</div>
@ -1998,15 +2000,13 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="KelvinBeiPrime" class="method">
<h4><span title="System.double">double</span> <strong>KelvinBeiPrime</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<h4><span title="System.double">double</span> <strong>KelvinBeiPrime</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Returns the derivative of the Kelvin function bei.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">The order of the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The value to compute the derivative of the Kelvin function of. </p>
</div>
@ -2014,19 +2014,21 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the derivative of the Kelvin function bei. </p>
<p>The derivative of the Kelvin function bei. </p>
</div>
</div>
</div>
<div id="KelvinBeiPrime" class="method">
<h4><span title="System.double">double</span> <strong>KelvinBeiPrime</strong>(<span title="System.double">double</span> x)</h4>
<h4><span title="System.double">double</span> <strong>KelvinBeiPrime</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<div class="content">Returns the derivative of the Kelvin function bei.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">The order of the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The value to compute the derivative of the Kelvin function of. </p>
</div>
@ -2034,7 +2036,7 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>The derivative of the Kelvin function bei. </p>
<p>the derivative of the Kelvin function bei. </p>
</div>
</div>
@ -2082,13 +2084,15 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="KelvinBerPrime" class="method">
<h4><span title="System.double">double</span> <strong>KelvinBerPrime</strong>(<span title="System.double">double</span> x)</h4>
<h4><span title="System.double">double</span> <strong>KelvinBerPrime</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<div class="content">Returns the derivative of the Kelvin function ber.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">The order of the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The value to compute the derivative of the Kelvin function of. </p>
</div>
@ -2096,21 +2100,19 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>The derivative of the Kelvin function ber. </p>
<p>the derivative of the Kelvin function ber </p>
</div>
</div>
</div>
<div id="KelvinBerPrime" class="method">
<h4><span title="System.double">double</span> <strong>KelvinBerPrime</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<h4><span title="System.double">double</span> <strong>KelvinBerPrime</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Returns the derivative of the Kelvin function ber.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">The order of the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The value to compute the derivative of the Kelvin function of. </p>
</div>
@ -2118,7 +2120,7 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the derivative of the Kelvin function ber </p>
<p>The derivative of the Kelvin function ber. </p>
</div>
</div>
@ -2225,13 +2227,15 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="KelvinKer" class="method">
<h4><span title="System.double">double</span> <strong>KelvinKer</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Returns the Kelvin function ker. <p>KelvinKer(x) is given by the real part of Exp(-nu * pi * j / 2) * BesselK(0, sqrt(j) * x) where j = sqrt(-1). </p> <p>KelvinKer(x) is equivalent to KelvinKer(0, x). </p>
<h4><span title="System.double">double</span> <strong>KelvinKer</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<div class="content">Returns the Kelvin function ker. <p>KelvinKer(nu, x) is given by the real part of Exp(-nu * pi * j / 2) * BesselK(nu, sqrt(j) * x) where j = sqrt(-1). </p>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">the order of the the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The non-negative real value to compute the Kelvin function of. </p>
</div>
@ -2245,15 +2249,13 @@ see: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function
</div>
</div>
<div id="KelvinKer" class="method">
<h4><span title="System.double">double</span> <strong>KelvinKer</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> x)</h4>
<div class="content">Returns the Kelvin function ker. <p>KelvinKer(nu, x) is given by the real part of Exp(-nu * pi * j / 2) * BesselK(nu, sqrt(j) * x) where j = sqrt(-1). </p>
<h4><span title="System.double">double</span> <strong>KelvinKer</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Returns the Kelvin function ker. <p>KelvinKer(x) is given by the real part of Exp(-nu * pi * j / 2) * BesselK(0, sqrt(j) * x) where j = sqrt(-1). </p> <p>KelvinKer(x) is equivalent to KelvinKer(0, x). </p>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">the order of the the Kelvin function. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The non-negative real value to compute the Kelvin function of. </p>
</div>
@ -2347,6 +2349,40 @@ between 0 and 1. </p>
<p>The logarithm of <var>p</var> divided by 1.0 - <var>p</var>. </p>
</div>
</div>
</div>
<div id="MarcumQ" class="method">
<h4><span title="System.double">double</span> <strong>MarcumQ</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> a, <span title="System.double">double</span> b)</h4>
<div class="content">Returns the Marcum Q-function Q[ν](a,b). <p>References: A. Gil, J. Segura and N.M. Temme. Efficient and accurate algorithms for the
computation and inversion of the incomplete gamma function ratios. SIAM J Sci Comput. (2012) 34(6), A2965-A2981 </p>
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> nu</h6>
<p class="comments">The order of generalized Marcum Q-function. Range: 1≦ν≦10000 </p>
<h6><code><span title="System.double">double</span></code> a</h6>
<p class="comments">The value to compute the Marcum Q-function of. Range: 0≦a≦10000 </p>
<h6><code><span title="System.double">double</span></code> b</h6>
<p class="comments">The value to compute the Marcum Q-function of. Range: 0≦b≦10000 </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>The Marcum Q-function Q[ν](a,b) </p>
</div>
</div>
</div>
<div id="MarcumQ" class="method">
<h4><span title="System.double">double</span> <strong>MarcumQ</strong>(<span title="System.double">double</span> nu, <span title="System.double">double</span> a, <span title="System.double">double</span> b, <span title="System.Int32&">Int32&amp;</span> err)</h4>
<div class="content">
</div>
</div>
<div id="Multinomial" class="method">
@ -2386,7 +2422,7 @@ between 0 and 1. </p>
</div>
</div>
<div id="SphericalBesselJ" class="method">
<h4><span title="System.double">double</span> <strong>SphericalBesselJ</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<h4><span title="System.Numerics.Complex">Complex</span> <strong>SphericalBesselJ</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<div class="content">Returns the spherical Bessel function of the first kind. <p>SphericalBesselJ(n, z) is given by Sqrt(pi/2) / Sqrt(z) * BesselJ(n + 1/2, z). </p>
@ -2395,20 +2431,20 @@ between 0 and 1. </p>
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the spherical Bessel function. </p>
<h6><code><span title="System.double">double</span></code> z</h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<p class="comments">The value to compute the spherical Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<p>The spherical Bessel function of the first kind. </p>
</div>
</div>
</div>
<div id="SphericalBesselJ" class="method">
<h4><span title="System.Numerics.Complex">Complex</span> <strong>SphericalBesselJ</strong>(<span title="System.double">double</span> n, <span title="System.Numerics.Complex">Complex</span> z)</h4>
<h4><span title="System.double">double</span> <strong>SphericalBesselJ</strong>(<span title="System.double">double</span> n, <span title="System.double">double</span> z)</h4>
<div class="content">Returns the spherical Bessel function of the first kind. <p>SphericalBesselJ(n, z) is given by Sqrt(pi/2) / Sqrt(z) * BesselJ(n + 1/2, z). </p>
@ -2417,13 +2453,13 @@ between 0 and 1. </p>
<h6><code><span title="System.double">double</span></code> n</h6>
<p class="comments">The order of the spherical Bessel function. </p>
<h6><code><span title="System.Numerics.Complex">Complex</span></code> z</h6>
<h6><code><span title="System.double">double</span></code> z</h6>
<p class="comments">The value to compute the spherical Bessel function of. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
<h6><code><span title="System.double">double</span></code></h6>
<p>The spherical Bessel function of the first kind. </p>
</div>

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