Boost C++ Libraries

“...one of the most highly regarded and expertly designed C++ library projects in the world.” — Herb Sutter and Andrei Alexandrescu, C++ Coding Standards

Special Functions

Gamma Functions

Gamma
Log Gamma
Digamma
Ratios of Gamma Functions
Incomplete Gamma Functions
Incomplete Gamma Function Inverses
Derivative of the Incomplete Gamma Function

Factorials and Binomial Coefficients

Factorial
Double Factorial
Rising Factorial
Falling Factorial
Binomial Coefficients

Beta Functions

Beta
Incomplete Beta Functions
The Incomplete Beta Function Inverses
Derivative of the Incomplete Beta Function

Error Functions

Error Functions
Error Function Inverses

Polynomials

Legendre (and Associated) Polynomials
Laguerre (and Associated) Polynomials
Hermite Polynomials
Spherical Harmonics

Bessel Functions

Bessel Function Overview
Bessel Functions of the First and Second Kinds
Modified Bessel Functions of the First and Second Kinds
Spherical Bessel Functions of the First and Second Kinds

Elliptic Integrals

Elliptic Integral Overview
Elliptic Integrals - Carlson Form
Elliptic Integrals of the First Kind - Legendre Form
Elliptic Integrals of the Second Kind - Legendre Form
Elliptic Integrals of the Third Kind - Legendre Form

Zeta Functions

Riemann Zeta Function

Exponential Integrals

Exponential Integral En
Exponential Integral Ei

Logs, Powers, Roots and Exponentials

log1p
expm1
cbrt
sqrt1pm1
powm1
hypot
Compile Time Power of a Runtime Base

Sinus Cardinal and Hyperbolic Sinus Cardinal Functions

Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview
sinc_pi
sinhc_pi

Inverse Hyperbolic Functions

Inverse Hyperbolic Functions Overview
acosh
asinh
atanh

Rounding Truncation and Integer Conversion

Rounding Functions
Truncation Functions
Integer and Fractional Part Splitting (modf)

Floating-Point Classification: Infinities and NaN's

Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values

Finding the Next Representable Value in a Specific Direction (nextafter)
Finding the Next Greater Representable Value (float_next)
Finding the Next Smaller Representable Value (float_prior)
Calculating the Representation Distance Between Two Floating Point Values (ULP) float_distance
Advancing a Floating Point Value by a Specific Representation Distance (ULP) float_advance

TR1 and C99 external "C" Functions

C99 and TR1 C Functions Overview
C99 C Functions
TR1 C Functions Quick Reference