Category:Special functions

E

• Elementary special functions (3 C, 14 P)
• Elliptic functions (2 C, 22 P)

G

• Gamma and related functions (24 P)

H

• Hypergeometric functions (1 C, 14 P)

O

• Orthogonal polynomials (12 P)

S

• Special hypergeometric functions (26 P)

Z

• Zeta and L-functions (60 P)

• List of eponyms of special functions

A

• Abramowitz and Stegun
• Absolute value
• Ackermann function
• Airy function
• Algebraic function
• Arithmetic–geometric mean

B

• Barnes G-function
• Bateman Manuscript Project
• Bernoulli polynomials
• Blancmange function
• Boxcar function

C

• Cantor function
• Chapman function
• Closed-form expression
• Colog
• Cologarithm
• Complete Fermi–Dirac integral
• Confluent hypergeometric function
• Conical function

D

• Dawson function
• Debye function
• Dilogarithm
• Dirac comb
• Dirichlet integral

E

• Entire function
• Exponential integral

F

• Floor and ceiling functions
• Fresnel integral

H

• Hankel contour
• Heaviside step function
• Heun function
• Holonomic function
• Hough function
• Hyperbolic growth

I

• Incomplete Fermi–Dirac integral
• Incomplete polylogarithm
• Inverse tangent integral

J

• Jacobi elliptic functions

K

• Kontorovich–Lebedev transform
• Kummer's function

L

• Lambert W function
• Legendre chi function
• Legendre form
• Lerche–Newberger sum rule
• Logistic function
• Logit

M

• Mathieu function
• Mayer f-function
• Minkowski's question-mark function
• Mittag-Leffler function
• Modular form

P

• Painlevé transcendents
• Parabolic cylinder function
• Polylogarithm

R

• Ramp function
• Real analytic Eisenstein series
• Rectangular function

S

• Scorer's function
• Sign function
• Spin-weighted spherical harmonics
• Step function
• Student's t-distribution
• Sudan function
• Synchrotron function

T

• Tak (function)
• Thomae's function
• Transcendental function
• Transport function
• Triangular function
• Trigonometric integral

V

• Voigt profile

W

• Walsh function
• Whittaker function