User:Evgeny Kurbatov/Books/Special functions, gamma functions and integral transforms

Special functions, gamma functions and integral transforms

Special functions

List of special functions and eponyms

Special functions

Abramowitz and Stegun

Absolute value

Ackermann function

Airy function

Algebraic function

Analytical expression

Anger function

Arithmetic–geometric mean

Askey–Gasper inequality

Bailey pair

Barnes G-function

Barnes integral

Bateman Manuscript Project

Bernoulli polynomials

Bessel–Maitland function

Blancmange function

Blasius function

Böhmer integral

Bounded type (mathematics)

Boxcar function

Cantor function

Chapman function

Clausen's formula

Closed-form expression

Cologarithm

Complete Fermi–Dirac integral

Conical function

Dawson function

Debye function

Dickman function

Digital Library of Mathematical Functions

Dirac comb

Dirichlet integral

Einstein function

Entire function

Exponential integral

Quantum dilogarithm

Floor and ceiling functions

Fresnel integral

Hahn–Exton q-Bessel function

Hankel contour

Heaviside step function

Heine's identity

Herglotz–Zagier function

Heun function

Holonomic function

Hough function

Hyperbolic growth

Incomplete Fermi–Dirac integral

Incomplete polylogarithm

Jack function

Jackson integral

Jackson q-Bessel function

Jacobi zeta function

Jacobi–Anger expansion

Kontorovich–Lebedev transform

Kummer's function

Lambert W function

Lamé function

Legendre chi function

Legendre form

Lerche–Newberger sum rule

Logistic function

Lommel function

Lommel polynomial

Mathieu function

Mayer f-function

Minkowski's question mark function

Mittag-Leffler function

Modular form

Multiple gamma function

Multiplication theorem

Nearest integer function

Neumann polynomial

Painlevé transcendents

Pochhammer contour

Polylogarithm

Prolate spheroidal wave functions

Q-function

Ramp function

Real analytic Eisenstein series

Rectangular function

Scorer's function

Selberg integral

Sievert integral

Sign function

Spence's function

Spheroidal wave function

Spin spherical harmonics

Spin-weighted spherical harmonics

Step function

Stromgren integral

Struve function

Student's t-distribution

Sudan function

Synchrotron function

Tak (function)

Theta function of a lattice

Thomae's function

Tracy–Widom distribution

Transcendental function

Transport function

Triangular function

Trigonometric integral

Voigt profile

Walsh function

Wangerin function

Whipple formulae

Wright Omega function

Gamma and related functions

Beta function

Digamma function

Elliptic gamma function

Incomplete gamma function

Gamma function

Factorial

Integral transforms

Integral transform

Abel transform

Bicoherence

Bispectrum

Constant Q transform

Continuous wavelet transform

Fourier analysis

Fourier operator

Fourier transform

List of Fourier-related transforms

Fractional Fourier transform

Funk transform

Gabor transform

Gabor–Wigner transform

Hankel transform

Hartley transform

Hilbert transform

Inverse Laplace transform

Laplace transform

Laplace transform applied to differential equations

Laplace–Stieltjes transform

Linear canonical transformation

Mehler–Fock transform

Mellin inversion theorem

Mellin transform

Motions in the time-frequency distribution

N-transform

Nachbin's theorem

Nörlund–Rice integral

Oscillatory integral operator

Perron's formula

Post's inversion formula

Projection-slice theorem

Radon transform

Riemann–Liouville integral

Riesz transform

S transform

Sine and cosine transforms

Stieltjes transformation

Sumudu transform

Triple correlation

Two-sided Laplace transform

Weierstrass transform

X-ray transform