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Special functions
Airy functions
Automorphic forms and functions
Bessel functions
Beta function
Binomial function
Carlitz-Goss Gamma function
Clausen functions
Dawson function
Dedekind eta function
Digamma function
Dirichlet eta function
Eisenstein series
Error function
Exponential function
Exponential integral
Factorial
Fresnel integral
Gamma function
Generalized hypergeometric function ${}_pF_q$
Hermite function
Hypergeometric $q$-series
Jacobi elliptic functions
Jacobi theta functions
Klein's j-invariant
Lambert $W$ function
Legendre function
Lerch transcendent
Logarithm
Logarithmic integral
Mathieu function
Maass forms
Minkowski $?$ function
Meijer G-function
Modular forms and functions
Mock modular forms
Mock theta functions
Painlevé transcendents
Polylogarithm
Partition function
Pochhammer symbol
Polygamma functions
Polylogarithms
Riemann theta function
Sum of positive divisors function
Sinc function
Struve functions
Theta functions
Trigonometric integral
Weierstrass elliptic functions
Polynomials
Abel polynomial
Bell polynomial
Bernoulli polynomial
Chebyshev polynomial
Dickson polynomial
Euler polynomial
Fibonacci polynomial
Hermite polynomial
$q$-Hermite polynomial
Lagrange polynomial
Laguerre polynomial
Legendre polynomial
Lucas polynomial
Mahler polynomial
Mott polynomial
Pidduck polynomial
Spread polynomial
Touchard polynomial
Rook polynomial
Trigonometric functions
Cosine function
Sine function
Tangent function
Special functions in number theory
Dirichlet $L$-function
Liouville function
Mertens function
Möbius function
Prime counting function
Ramanujan's sum
Riemann zeta function
Totient function
Zeta functions
A directory of zeta functions.
Airy zeta function
Arakawa-Kaneko zeta function
Arithmetic zeta function
Artin-Mazur zeta function
Barnes zeta function
Beurling zeta function
Dedekind zeta function
Epstein zeta function
Goss zeta function
Hasse-Weil zeta function
Height zeta function
Hurwitz zeta function
Igusa zeta function
Ihara zeta function
Lefschetz zeta function
Lerch zeta function
Local zeta function
Matsumoto zeta function
Minakshisudaram-Pleijel zeta function
Motivic zeta function
Multiple zeta function
$p$-adic zeta function
Prime zeta function
Riemann zeta function
Ruelle zeta function
Secant zeta function
Selberg zeta function
Shimizu zeta function
Shintani zeta function
Witten zeta function
$q$-Calculus
$q$-Bessel function
$q$-Beta function
$q$-Binomial function
$q$-Factorial
$q$-Gamma function
$q$-Hermite polynomial
$q$-Pochhammer symbol
Special constants
Apéry's constant
Chaitin's constant
Conway's constant
$e$
Euler-Mascheroni constant
Feigenbaum constants
Fransén–Robinson constant
Golden ratio
Khinchin's constant
Lévy's constant
Mills' constant
$\pi$
Tools from calculus
Integration by parts
Ratio test
Other
Solution manual to Rainville's "Special Functions"
"Special Functions" by Leon Hall
Relations between special functions by John D. Cook
NIST Digital Library of Mathematical Functions
T.H Koornwinder's list of resources
Victor Moll's proofs of Gradshteyn and Ryzhik integrals
Abramowitz and Stegun
LMFDB, the database of L-functions, modular forms, and related objects.
Phillipe Flajolet's /Analytic Combinatorcs/
