Special function
ScienceWISE definitions
Incoming relations
- Orthogonal polynomials is a part of Special function
Outgoing relations
- Special function is a generalization of Orthogonal polynomials
Subcategories
Concepts
- Ackermann function
- Airy function
- Airy zeta function
- Anger function
- Apéry's constant
- Apéry's theorem
- Appell series
- Artin L-function
- Artin-Mazur zeta function
- Askey-Gasper inequality
- Askey-Wilson polynomials
- Associated Legendre polynomials
- Bailey pair
- Barnes integral
- Barnes zeta function
- Basic hypergeometric series
- Bateman function
- Bessel-Clifford function
- Bessel function
- Bessel polynomials
- Beurling zeta function
- Bilateral hypergeometric series
- Binomial transform
- Blancmange function
- Bohr-Mollerup theorem
- Brumer-Stark conjecture
- Cantor function
- Carlson symmetric form
- Chapman function
- Charlier polynomials
- Chebyshev polynomials
- Chowla-Mordell theorem
- Clausen function
- Clausen's formula
- Closed-form expression
- Cologarithm
- Complete Fermi-Dirac integral
- Confluent hypergeometric function
- Conical function
- Coulomb wave function
- Cunningham function
- Dawson function
- Debye function
- Dedekind eta function
- Dedekind zeta function
- Dickman function
- Digamma function
- Dirac comb
- Dirichlet beta function
- Dirichlet character
- Dirichlet eta function
- Dirichlet integral
- Dirichlet L-function
- Dirichlet series
- Dirichlet's theorem on arithmetic progressions
- Dixon's identity
- Doubling-oriented Doche-Icart-Kohel curve
- Dougall's formula
- Edwards curve
- Eichler-Shimura congruence relation
- Einstein function
- Elliptic curve
- Elliptic curve primality proving
- Elliptic function
- Elliptic gamma function
- Elliptic hypergeometric series
- Elliptic integral
- Equianharmonic
- Equivariant L-function
- Error function
- Euler beta function
- Euler integral
- Exponential integral
- Fekete polynomial
- Fox H-function
- Fransén-Robinson constant
- Fresnel integral
- Frobenius solution to the hypergeometric equation
- Gamma function
- Gaussian binomial coefficient
- Gaussian q-distribution
- Gegenbauer polynomials
- General hypergeometric function
- Generalized hypergeometric function
- Generalized Pochhammer symbol
- Generalized polygamma function
- Generalized Riemann hypothesis
- Goss zeta function
- Gram polynomial
- Grand Riemann hypothesis
- Hadjicostas's formula
- Hahn polynomials
- Hardy-Littlewood zeta-function conjectures
- Hasse-Weil zeta function
- Heegner point
- Heine's identity
- Herglotz-Zagier function
- Hermite polynomials
- Hessian form of an elliptic curve
- Heun function
- Hilbert-Pólya conjecture
- Hölder's theorem
- Horn function
- Hough function
- Humbert series
- Hurwitz zeta function
- Hypergeometric function
- Hypergeometric function of a matrix argument
- Ihara zeta function
- Incomplete Fermi-Dirac integral
- Incomplete gamma function
- Incomplete polylogarithm
- Indefinite logarithm
- Jack function
- Jackson integral
- Jacobian curve
- Jacobi-Anger expansion
- Jacobi elliptic functions
- Jacobi form
- Jacobi polynomials
- Jacobi theta functions
- Jacobi triple product
- Jacobi zeta function
- J-invariant
- J-line
- Kelvin functions
- K-function
- Kontorovich-Lebedev transform
- Koornwinder polynomials
- Kravchuk polynomials
- Kummer's function
- Laguerre polynomials
- Lambert series
- Lambert W function
- Lamé function
- Lanczos approximation
- Landen's transformation
- Lauricella hypergeometric series
- Lefschetz zeta function
- Legendre chi function
- Legendre form
- Legendre function
- Legendre polynomials
- Lemniscatic elliptic function
- Lerche-Newberger sum rule
- Lerch zeta function
- L-function
- Lindelöf hypothesis
- Li's criterion
- LLT polynomial
- Local zeta-function
- Logarithmic integral function
- Logistic function
- Lommel function
- Lommel polynomial
- Macdonald polynomial
- MacRobert E function
- Mathieu function
- Matsumoto zeta function
- Mayer f-function
- Meijer G-function
- Meixner polynomials
- Metaplectic group
- Minkowski's question mark function
- Mittag-Leffler function
- Mock modular form
- Modified Bessel Function
- Modular elliptic curve
- Modular form
- Modular lambda function
- Montgomery curve
- Montgomery's pair correlation conjecture
- Mordell-Weil theorem
- Multiple gamma function
- Multiple zeta function
- Multiplication theorem
- Multivariate gamma function
- Nagell-Lutz theorem
- Neumann polynomial
- Nome
- Odlyzko-Schönhage algorithm
- Orthogonal polynomials
- P-adic L-function
- Painlevé transcendents
- Parabolic cylinder function
- Period mapping
- Picard-Fuchs equation
- Pochhammer contour
- Pochhammer k-symbol
- Pochhammer symbol
- Polygamma function
- Polylogarithm
- Poncelet's porism
- Prime zeta function
- Proof of the Euler product formula for the Riemann zeta function
- Pseudo-Zernike polynomials
- Q-difference polynomial
- Q-exponential
- Q-function
- Q-gamma function
- Q-theta function
- Quarter period
- Racah polynomials
- Ramanujan-Petersson conjecture
- Ramanujan theta function
- Rankin-Selberg method
- Rational zeta series
- Real analytic Eisenstein series
- Reciprocal Gamma function
- Regularized Gamma function
- Riemann hypothesis
- Riemann's differential equation
- Riemann-Siegel formula
- Riemann-Siegel theta function
- Riemann Xi function
- Riemann zeta function
- Riesz function
- Riesz mean
- Rogers-Ramanujan continued fraction
- Rogers-Ramanujan identities
- Sato-Tate conjecture
- Schottky problem
- Schwarz's list
- Scorer's function
- Selberg class
- Selberg integral
- Selberg's conjecture
- Selberg zeta function
- Shimura variety
- Shintani zeta function
- Siegel zero
- Sievert integral
- Special values of L-functions
- Spence's function
- Spheroidal wave function
- Spin-weighted spherical harmonics
- Spouge's approximation
- Stark conjectures
- Stieltjes constants
- Stieltjes-Wigert polynomials
- Stirling's approximation
- Struve function
- Student's t-distribution
- Sudan function
- Supersingular elliptic curve
- Synchrotron function
- Szegő polynomial
- Table of spherical harmonics
- Theta characteristic
- Theta divisor
- Theta representation
- Thomae's function
- Toronto function
- Transport function
- Trigamma function
- Trigonometric integral
- Tripling-oriented Doche-Icart-Kohel curve
- Tsallis entropy
- Turán's inequalities
- Twisted Edwards curve
- Twisted Hessian curves
- Twists of curves
- Walsh function
- Weierstrass functions
- Weierstrass's elliptic functions
- Weil pairing
- Weil's criterion
- Whipple formulae
- Whittaker function
- Wigner D-matrix
- Wilson polynomials
- Witten zeta function
- Wright Omega function
- Zernike polynomials
- Zeta constant
- Zeta function
- Z function
- Zonal spherical harmonics
Categorization
Mathematical methods of physicsSynonyms
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