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| <div class="titlepage"><div><div><h2 class="title" style="clear: both"> |
| <a name="math_toolkit.special"></a><a class="link" 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/zetas.html">Zeta Functions</a></span></dt> |
| <dd><dl><dt><span class="section"><a href="special/zetas/zeta.html">Riemann Zeta Function</a></span></dt></dl></dd> |
| <dt><span class="section"><a href="special/expint.html">Exponential Integrals</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="special/expint/expint_n.html">Exponential Integral |
| En</a></span></dt> |
| <dt><span class="section"><a href="special/expint/expint_i.html">Exponential Integral |
| Ei</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> |
| <dt><span class="section"><a href="special/powers/ct_pow.html">Compile Time Power |
| of a Runtime Base</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> |
| </dl></div> |
| </div> |
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| <td align="right"><div class="copyright-footer">Copyright © 2006 , 2007, 2008, 2009, 2010 John Maddock, Paul A. Bristow, |
| Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and |
| Thijs van den Berg<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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