special function
functions which have established names and notations due to their importance in mathematics
beta function
mathematical function
elliptic integral
family of special functions defined by an integral
Mittag-Leffler function
entire function depending on two complex parameters α and β
Modified Struve function
subclass of mathematical special functions
Bessel function
families of solutions to related differential equations
Airy function
special function in the physical sciences
Dirichlet beta function
closely related to the Riemann zeta function
logarithmic integral
special function defined as the antiderivative of 1∕㏑(𝑥)
Legendre polynomial
solutions to Legendre's differential equation
Laguerre polynomial
polynomial sequence
gamma function
extension of the factorial function, with its argument shifted down by 1, to real and complex numbers
Struve function
mathmatical function
Legendre function
solutions of Legendre's differential equation
Scorer's function
solutions to differential equations
theta function
special functions of several complex variables
exponential integral
special function defined by an integral
Legendre chi function
mathematical function
vector spherical harmonics
extension of the scalar spherical harmonics for use with vector fields
Riemann zeta function
analytic function
Whittaker function
in mathematics, a solution to a modified form of the confluent hypergeometric equation
error function
sigmoid shape special function which occurs in probability, statistics and partial differential equations
Fresnel integral
special function defined by an integral
Hermite polynomial
polynomial sequence
spherical harmonic
special function over the surface of a sphere
spin-weighted spherical harmonics
basis of sections of a holomorphic line bundle on the Riemann sphere