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<title>Chapter&#160;6.&#160;Special Functions</title>
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<title>Chapter 8. Special Functions</title>
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<div class="chapter">
<div class="titlepage"><div><div><h1 class="title">
<a name="special"></a>Chapter&#160;6.&#160;Special Functions</h1></div></div></div>
<a name="special"></a>Chapter 8. Special Functions</h1></div></div></div>
<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
@@ -70,7 +70,8 @@
</dl></dd>
<dt><span class="section"><a href="math_toolkit/sf_erf.html">Error Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/sf_erf/error_function.html">Error Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_erf/error_function.html">Error Function erf
and complement erfc</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_erf/error_inv.html">Error Function Inverses</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/sf_poly.html">Polynomials</a></span></dt>
@@ -84,6 +85,9 @@
<dt><span class="section"><a href="math_toolkit/sf_poly/hermite.html">Hermite Polynomials</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_poly/chebyshev.html">Chebyshev Polynomials</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_poly/sph_harm.html">Spherical Harmonics</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_poly/cardinal_b_splines.html">Cardinal B-splines</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_poly/gegenbauer.html">Gegenbauer Polynomials</a></span></dt>
<dt><span class="section"><a href="math_toolkit/sf_poly/jacobi.html">Jacobi Polynomials</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/bessel.html">Bessel Functions</a></span></dt>
<dd><dl>
@@ -130,8 +134,8 @@
</dl></dd>
<dt><span class="section"><a href="math_toolkit/jacobi.html">Jacobi Elliptic Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/jacobi/jac_over.html">Overvew of the Jacobi Elliptic
Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi/jac_over.html">Overview of the Jacobi
Elliptic Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi/jacobi_elliptic.html">Jacobi Elliptic
SN, CN and DN</a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi/jacobi_cd.html">Jacobi Elliptic Function
@@ -159,6 +163,21 @@
<dt><span class="section"><a href="math_toolkit/jacobi/jacobi_sn.html">Jacobi Elliptic Function
sn</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/jacobi_theta.html">Jacobi Theta Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/jacobi_theta/jacobi_theta_overview.html">Overview
of the Jacobi Theta Functions</a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi_theta/jacobi_theta1.html">Jacobi Theta
Function θ<sub>1</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi_theta/jacobi_theta2.html">Jacobi Theta
Function θ<sub>2</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi_theta/jacobi_theta3.html">Jacobi Theta
Function θ<sub>3</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/jacobi_theta/jacobi_theta4.html">Jacobi Theta
Function θ<sub>4</sub></a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/lambert_w.html">Lambert <span class="emphasis"><em>W</em></span>
function</a></span></dt>
<dt><span class="section"><a href="math_toolkit/zetas.html">Zeta Functions</a></span></dt>
<dd><dl><dt><span class="section"><a href="math_toolkit/zetas/zeta.html">Riemann Zeta Function</a></span></dt></dl></dd>
<dt><span class="section"><a href="math_toolkit/expint.html">Exponential Integrals</a></span></dt>
@@ -166,6 +185,21 @@
<dt><span class="section"><a href="math_toolkit/expint/expint_n.html">Exponential Integral En</a></span></dt>
<dt><span class="section"><a href="math_toolkit/expint/expint_i.html">Exponential Integral Ei</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/hypergeometric.html">Hypergeometric Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_1f0.html">Hypergeometric
<sub>1</sub><span class="emphasis"><em>F</em></span><sub>0</sub> </a></span></dt>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_0f1.html">Hypergeometric
<sub>0</sub><span class="emphasis"><em>F</em></span><sub>1</sub> </a></span></dt>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_2f0.html">Hypergeometric
<sub>2</sub><span class="emphasis"><em>F</em></span><sub>0</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_1f1.html">Hypergeometric
<sub>1</sub><span class="emphasis"><em>F</em></span><sub>1</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_pfq.html">Hypergeometric
<sub>p</sub>F<sub>q</sub></a></span></dt>
<dt><span class="section"><a href="math_toolkit/hypergeometric/hypergeometric_refs.html">Hypergeometric
References</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/powers.html">Basic Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="math_toolkit/powers/sin_pi.html">sin_pi</a></span></dt>
@@ -178,6 +212,7 @@
<dt><span class="section"><a href="math_toolkit/powers/hypot.html">hypot</a></span></dt>
<dt><span class="section"><a href="math_toolkit/powers/ct_pow.html">Compile Time Power of a Runtime
Base</a></span></dt>
<dt><span class="section"><a href="math_toolkit/powers/rsqrt.html">Reciprocal square root</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/sinc.html">Sinus Cardinal and Hyperbolic Sinus
Cardinal Functions</a></span></dt>
@@ -196,16 +231,18 @@
<dt><span class="section"><a href="math_toolkit/inv_hyper/atanh.html">atanh</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="math_toolkit/owens_t.html">Owen's T function</a></span></dt>
<dt><span class="section"><a href="math_toolkit/daubechies.html">Daubechies Wavelets and Scaling
Functions</a></span></dt>
</dl>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014, 2017 Nikhar
Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam
Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle Walker
and Xiaogang Zhang<p>
<td align="right"><div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
Walker and Xiaogang Zhang<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
@@ -213,7 +250,7 @@
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