functions_list.md

Functions

CurrentModule = SpecialFunctions

Gamma Function

gamma
loggamma
logabsgamma
loggamma1p
logfactorial
digamma
invdigamma
trigamma
polygamma
gamma_inc
gamma_inc_inv
loggammadiv
gammax
rgammax
rgamma1pm1
gamma_inc_asym
gamma_inc_cf
gamma_inc_fsum
gamma_inc_minimax
gamma_inc_taylor
gamma_inc_taylor_x
gamma_inc_temme
gamma_inc_temme_1
gamma_inc_inv_psmall
gamma_inc_inv_qsmall
gamma_inc_inv_alarge
auxgam

Beta Function

beta
logbeta
logabsbeta
logabsbinomial
beta_inc
beta_inc_inv
ncbeta
ncbeta_poisson
ncbeta_tail
beta_inc_power_series1
beta_inc_power_series2
beta_inc_asymptotic_asymmetric
beta_inc_asymptotic_symmetric
beta_inc_power_series
beta_inc_diff
beta_inc_cont_fraction
beta_integrand

Utilities

chepolsum
lambdaeta
stirling_corr
stirling_error
esum
coeff1
coeff2
coeff3
ncF

Exponential and Trigonometric Integrals

expint
expinti
expintx
sinint
cosint

Error Functions, Dawson’s and Fresnel Integrals

erf
erf(::Real, ::Real)
erfc
logerf
erfcinv
erfcx
logerfc
logerfcx
erfi
erfinv
dawson
faddeeva

Airy and Related Functions

airyai
airyaiprime
airybi
airybiprime
airyaix
airyaiprimex
airybix
airybiprimex

Bessel Functions

besselj
besselj0
besselj1
besseljx
sphericalbesselj
bessely
bessely0
bessely1
besselyx
sphericalbessely
besselh
besselhx
hankelh1
hankelh1x
hankelh2
hankelh2x
besseli
besselix
besselk
besselkx
jinc

Elliptic Integrals

ellipk
ellipe

Zeta and Related Functions

eta
zeta

Special Trigonometric Functions

sincu
sinhcu