Parameter derivatives of the jacoby polynomials and the gaussian hypergeometric function

DOI10.1080/10652469408819056zbMath0822.33003OpenAlexW2101932365MaRDI QIDQ4837535

Jochen Fröhlich

Publication date: 8 October 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469408819056

zbMATH Keywords

Jacobi polynomialsclassical hypergeometric functionsadaptive Galerkin methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (14)

Hölder mean inequalities for the complete elliptic integrals ⋮ A note on parameter derivatives of the Jacobi polynomials on the triangle ⋮ On parameter derivatives of a family of polynomials in two variables ⋮ Differentiation formulas of some hypergeometric functions with respect to all parameters ⋮ Representations for parameter derivatives of some Koornwinder polynomials in two variables ⋮ Representations of orthogonal polynomials ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order) ⋮ The inverse and derivative connecting problems for some hypergeometric polynomials ⋮ Derivatives of any Horn-type hypergeometric functions with respect to their parameters ⋮ Parameter-based Fisher's information of orthogonal polynomials ⋮ On derivatives of hypergeometric functions and classical polynomials with respect to parameters ⋮ The derivative connecting problems for some classical polynomials ⋮ Classical orthogonal polynomials: Dependence of parameters

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