Special functions

E

• Elementary special functions (4 C, 23 P)
• Elliptic functions (2 C, 33 P)

G

• Gamma and related functions (34 P)

H

• Hypergeometric functions (1 C, 34 P)

O

• Orthogonal polynomials (90 P)

S

• Special hypergeometric functions (64 P)

T

• Theta functions (14 P)

Z

• Zeta and L-functions (104 P)

• List of special functions and eponyms
• Special functions

A

• Abramowitz and Stegun
• Absolute value
• Ackermann function
• Airy function
• Algebraic function
• Anger function
• Arithmetic–geometric mean
• Askey–Bateman project
• Askey–Gasper inequality

B

• Baer function
• Bailey pair
• Barnes G-function
• Barnes integral
• Bateman function
• Bateman Manuscript Project
• Bernoulli polynomials
• Bessel–Maitland function
• Bickley–Naylor functions
• Blancmange function
• Böhmer integral
• Bounded type (mathematics)
• Boxcar function
• Bronshtein and Semendyayev
• Buchstab function

C

• Cantor function
• Carotid–Kundalini function
• Carr–Madan formula
• Physics:Chandrasekhar's H-function
• Physics:Chandrasekhar's X- and Y-function
• Chapman function
• Clausen's formula
• Closed-form expression
• Colog
• Cologarithm
• Complete Fermi–Dirac integral
• Confluent hypergeometric function
• Conical function
• Conway base 13 function
• Coshc function
• Crenel function

D

• Debye function
• Dickman function
• Digital Library of Mathematical Functions
• Dilogarithm
• Dirac comb
• Dirichlet integral

E

• Einstein function
• Encyclopedia of Special Functions
• Entire function
• Exponential integral

F

• Ferrers function
• Floor and ceiling functions
• Fox H-function
• Fresnel integral

G

• Goodwin–Staton integral
• Griewank function

H

• Hadamard's gamma function
• Hahn–Exton q-Bessel function
• Hankel contour
• Harish-Chandra's Ξ function
• Heaviside step function
• Heine's identity
• Herglotz–Zagier function
• Heun function
• Holonomic function
• Hough function
• Hyperbolastic functions
• Hyperbolic growth

I

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

J

• Jack function
• Jackson integral
• Jackson q-Bessel function
• F. H. Jackson
• Jacobi elliptic functions
• Jacobi zeta function
• Jacobi–Anger expansion

K

• Kontorovich–Lebedev transform
• Kummer's function

L

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

M

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

N

• Nearest integer function
• Neuman–Sándor mean
• Neumann polynomial
• Neville theta functions
• NIST Handbook of Mathematical Functions

O

• Oblate spheroidal wave function

P

• Painlevé transcendents
• Parabolic cylinder function
• Pearcey integral
• Pochhammer contour
• Pocketbook of Mathematical Functions
• Polylogarithm
• Prolate spheroidal wave function

Q

• Q-function
• Quantum dilogarithm

R

• Ramp function
• Real analytic Eisenstein series
• Rectangular function
• Ruler function

S

• Scorer's function
• Selberg integral
• Sievert integral
• Sign function
• Sinhc function
• Spence's function
• Spinor spherical harmonics
• Step function
• Struve function
• Sudan function
• Synchrotron function

T

• Tanc function
• Tanhc function
• Tau function (integrable systems)
• Tracy–Widom distribution
• Transcendental function
• Transport function
• Triangular function

W

• Walsh function
• Whipple formulae
• Wright Omega function
• Wright omega function