# Functions

```@meta
CurrentModule = SpecialFunctions
```


## Gamma Function

```@docs
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
```@docs
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

```@docs
chepolsum
lambdaeta
stirling_corr
stirling_error
esum
coeff1
coeff2
coeff3
ncF
```

## Exponential and Trigonometric Integrals

```@docs
expint
expinti
expintx
sinint
cosint
```

## Error Functions, Dawson’s and Fresnel Integrals

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

## Airy and Related Functions

```@docs
airyai
airyaiprime
airybi
airybiprime
airyaix
airyaiprimex
airybix
airybiprimex
```

## Bessel Functions

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

## Elliptic Integrals

```@docs
ellipk
ellipe
```

## Zeta and Related Functions

```@docs
eta
zeta
```

## Citations
```@bibliography
```
