## constituents

• modf, fmod (inv of modf)
• floor, ceil, trunc

• round

• rem, mod

• div, cld, fld

• divrem, fldmod

## arithmetic functions

• +,-, *, /
• square, cube, sqrt, cbrt, hypot
• pow(x,i), root(x,i) where i is an integer > 0
• factorial, doublefactorial, risingfactorial
• binomial

## complex constituents

• real, imag
• angle, magnitude
• conj # applies to a value and applies to a matrix

## random numbers

• rand, randn

## arithmetic-geometric mean

• agm, agm1

All of the following functions are available for ArbFloat, ArbReal and ArbComplex types

## elementary functions

• exp, expm1
• log, log1p, log2, log10
• sin, cos, tan, csc, sec, cot
• sinpi, cospi, tanpi, cotpi
• asin, acos, atan, atan(y,x)
• sinh, cosh, tanh, csch, sech, coth
• asinh, acosh, atanh

## gamma functions

• gamma, lgamma
• rgamma, digamma

## error functions

• erf, erfc, erfi

## Bessel functions

• besselj, besselj0, besselj1
• bessely, bessely0, bessely1
• besseli, besselk

## Airy functions

• airyai, airyaiprime
• airybi, airybiprime

## elliptic functions

• elliptic_e, elliptic_k, elliptic_pi (complete and incomplete integrals)
• elliptic_e2, elliptic_k2, elliptic_pi2 (squares the modulus)
• elliptic_rf, elliptic_rg, elliptic_rj (Carleson's symmetric integrals)

## other special functions

• ei, si, ci
• shi, chi
• zeta, eta, xi # Reimann
• polylog, lambertw

## transforms

• dft, inverse_dft