Mathematical special functions

 

C++

Compiler support

Freestanding and hosted

Language

Standard library

Standard library headers

Named requirements

Feature test macros (C++20)

Language support library

Concepts library (C++20)

Metaprogramming library (C++11)

Diagnostics library

General utilities library

Strings library

Containers library

Iterators library

Ranges library (C++20)

Algorithms library

Numerics library

Localizations library

Input/output library

Filesystem library (C++17)

Regular expressions library (C++11)

Concurrency support library (C++11)

Execution support library (C++26)

Technical specifications

Symbols index

External libraries

 

Experimental

Technical Specification

Filesystem library (filesystem TS)

Library fundamentals (library fundamentals TS)

Library fundamentals 2 (library fundamentals TS v2)

Library fundamentals 3 (library fundamentals TS v3)

Extensions for parallelism (parallelism TS)

Extensions for parallelism 2 (parallelism TS v2)

Extensions for concurrency (concurrency TS)

Extensions for concurrency 2 (concurrency TS v2)

Concepts (concepts TS)

Ranges (ranges TS)

Reflection (reflection TS)

Mathematical special functions (special functions TR)

Experimental Non-TS

Pattern Matching

Linear Algebra

std::execution

Contracts

2D Graphics

 

Mathematical special functions

assoc_laguerreassoc_laguerrefassoc_laguerrel assoc_legendreassoc_legendrefassoc_legendrel betabetafbetal comp_ellint_1comp_ellint_1fcomp_ellint_1l comp_ellint_2comp_ellint_2fcomp_ellint_2l comp_ellint_3comp_ellint_3fcomp_ellint_3l cyl_bessel_icyl_bessel_ifcyl_bessel_il

cyl_bessel_jcyl_bessel_jfcyl_bessel_jl cyl_bessel_kcyl_bessel_kfcyl_bessel_kl cyl_neumanncyl_neumannfcyl_neumannl ellint_1ellint_1fellint_1l ellint_2ellint_2fellint_2l ellint_3ellint_3fellint_3l expintexpintfexpintl

hermitehermitefhermitel laguerrelaguerreflaguerrel legendrelegendreflegendrel riemann_zetariemann_zetafriemann_zetal sph_besselsph_besselfsph_bessell sph_legendresph_legendrefsph_legendrel sph_neumannsph_neumannfsph_neumannl

 

The Mathematical Special Functions library, ISO/IEC 29124:2010, specifies extensions to the C++ standard library that include mathematical special functions (originally part of ISO/IEC TR 19768:2007).

This special functions in this library are implemented in boost.math, which is currently available on more compilers and platforms than implementations of this standard. At the time of this writing (1/2016) the only compiler that announced direct support is gcc, for version 6.1.

Non-member functions

Defined in header <cmath>
assoc_laguerreassoc_laguerrefassoc_laguerrel	associated Laguerre polynomials (function)
assoc_legendreassoc_legendrefassoc_legendrel	associated Legendre polynomials (function)
betabetafbetal	beta function (function)
comp_ellint_1comp_ellint_1fcomp_ellint_1l	(complete) elliptic integral of the first kind (function)
comp_ellint_2comp_ellint_2fcomp_ellint_2l	(complete) elliptic integral of the second kind (function)
comp_ellint_3comp_ellint_3fcomp_ellint_3l	(complete) elliptic integral of the third kind (function)
cyl_bessel_icyl_bessel_ifcyl_bessel_il	regular modified cylindrical Bessel functions (function)
cyl_bessel_jcyl_bessel_jfcyl_bessel_jl	cylindrical Bessel functions (of the first kind) (function)
cyl_bessel_kcyl_bessel_kfcyl_bessel_kl	irregular modified cylindrical Bessel functions (function)
cyl_neumanncyl_neumannfcyl_neumannl	cylindrical Neumann functions (function)
ellint_1ellint_1fellint_1l	(incomplete) elliptic integral of the first kind (function)
ellint_2ellint_2fellint_2l	(incomplete) elliptic integral of the second kind (function)
ellint_3ellint_3fellint_3l	(incomplete) elliptic integral of the third kind (function)
expintexpintfexpintl	exponential integral (function)
hermitehermitefhermitel	Hermite polynomials (function)
legendrelegendreflegendrel	Legendre polynomials (function)
laguerrelaguerreflaguerrel	Laguerre polynomials (function)
riemann_zetariemann_zetafriemann_zetal	Riemann zeta function (function)
sph_besselsph_besselfsph_bessell	spherical Bessel functions (of the first kind) (function)
sph_legendresph_legendrefsph_legendrel	spherical associated Legendre functions (function)
sph_neumannsph_neumannfsph_neumannl	spherical Neumann functions (function)

Macros

__STDCPP_MATH_SPEC_FUNCS__

a value of at least 201003L indicates that ISO/IEC 29124:2010 is supported (macro constant)