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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="left"></td> |
| <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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