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<title>Special Functions</title>
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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.special"></a><a href="special.html" title="Special Functions"> Special Functions</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="special/sf_gamma.html"> Gamma Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/sf_gamma/tgamma.html"> Gamma</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/lgamma.html"> Log Gamma</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/digamma.html"> Digamma</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/gamma_ratios.html"> Ratios
of Gamma Functions</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/igamma.html"> Incomplete Gamma
Functions</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/igamma_inv.html"> Incomplete
Gamma Function Inverses</a></span></dt>
<dt><span class="section"><a href="special/sf_gamma/gamma_derivatives.html"> Derivative
of the Incomplete Gamma Function</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/factorials.html"> Factorials and Binomial
Coefficients</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/factorials/sf_factorial.html"> Factorial</a></span></dt>
<dt><span class="section"><a href="special/factorials/sf_double_factorial.html">
Double Factorial</a></span></dt>
<dt><span class="section"><a href="special/factorials/sf_rising_factorial.html">
Rising Factorial</a></span></dt>
<dt><span class="section"><a href="special/factorials/sf_falling_factorial.html">
Falling Factorial</a></span></dt>
<dt><span class="section"><a href="special/factorials/sf_binomial.html"> Binomial
Coefficients</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/sf_beta.html"> Beta Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/sf_beta/beta_function.html"> Beta</a></span></dt>
<dt><span class="section"><a href="special/sf_beta/ibeta_function.html"> Incomplete
Beta Functions</a></span></dt>
<dt><span class="section"><a href="special/sf_beta/ibeta_inv_function.html"> The
Incomplete Beta Function Inverses</a></span></dt>
<dt><span class="section"><a href="special/sf_beta/beta_derivative.html"> Derivative
of the Incomplete Beta Function</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/sf_erf.html"> Error Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/sf_erf/error_function.html"> Error
Functions</a></span></dt>
<dt><span class="section"><a href="special/sf_erf/error_inv.html"> Error Function
Inverses</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/sf_poly.html"> Polynomials</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/sf_poly/legendre.html"> Legendre (and
Associated) Polynomials</a></span></dt>
<dt><span class="section"><a href="special/sf_poly/laguerre.html"> Laguerre (and
Associated) Polynomials</a></span></dt>
<dt><span class="section"><a href="special/sf_poly/hermite.html"> Hermite Polynomials</a></span></dt>
<dt><span class="section"><a href="special/sf_poly/sph_harm.html"> Spherical Harmonics</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/bessel.html"> Bessel Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/bessel/bessel_over.html"> Bessel Function
Overview</a></span></dt>
<dt><span class="section"><a href="special/bessel/bessel.html"> Bessel Functions
of the First and Second Kinds</a></span></dt>
<dt><span class="section"><a href="special/bessel/mbessel.html"> Modified Bessel
Functions of the First and Second Kinds</a></span></dt>
<dt><span class="section"><a href="special/bessel/sph_bessel.html"> Spherical
Bessel Functions of the First and Second Kinds</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/ellint.html"> Elliptic Integrals</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/ellint/ellint_intro.html"> Elliptic
Integral Overview</a></span></dt>
<dt><span class="section"><a href="special/ellint/ellint_carlson.html"> Elliptic
Integrals - Carlson Form</a></span></dt>
<dt><span class="section"><a href="special/ellint/ellint_1.html"> Elliptic Integrals
of the First Kind - Legendre Form</a></span></dt>
<dt><span class="section"><a href="special/ellint/ellint_2.html"> Elliptic Integrals
of the Second Kind - Legendre Form</a></span></dt>
<dt><span class="section"><a href="special/ellint/ellint_3.html"> Elliptic Integrals
of the Third Kind - Legendre Form</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/powers.html"> Logs, Powers, Roots and
Exponentials</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/powers/log1p.html"> log1p</a></span></dt>
<dt><span class="section"><a href="special/powers/expm1.html"> expm1</a></span></dt>
<dt><span class="section"><a href="special/powers/cbrt.html"> cbrt</a></span></dt>
<dt><span class="section"><a href="special/powers/sqrt1pm1.html"> sqrt1pm1</a></span></dt>
<dt><span class="section"><a href="special/powers/powm1.html"> powm1</a></span></dt>
<dt><span class="section"><a href="special/powers/hypot.html"> hypot</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/sinc.html"> Sinus Cardinal and Hyperbolic
Sinus Cardinal Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/sinc/sinc_overview.html"> Sinus Cardinal
and Hyperbolic Sinus Cardinal Functions Overview</a></span></dt>
<dt><span class="section"><a href="special/sinc/sinc_pi.html">sinc_pi</a></span></dt>
<dt><span class="section"><a href="special/sinc/sinhc_pi.html">sinhc_pi</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/inv_hyper.html"> Inverse Hyperbolic Functions</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="special/inv_hyper/inv_hyper_over.html"> Inverse
Hyperbolic Functions Overview</a></span></dt>
<dt><span class="section"><a href="special/inv_hyper/acosh.html"> acosh</a></span></dt>
<dt><span class="section"><a href="special/inv_hyper/asinh.html"> asinh</a></span></dt>
<dt><span class="section"><a href="special/inv_hyper/atanh.html"> atanh</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="special/fpclass.html"> Floating Point Classification:
Infinities and NaN's</a></span></dt>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="right"><div class="copyright-footer">Copyright 2006 -2007 John Maddock, Paul A. Bristow, Hubert Holin
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>)
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