The coefficients of differentiated expansions of double and triple Jacobi polynomials

zbMath1302.42042MaRDI QIDQ2445076

Waleed M. Abd-Elhameed, Hany M. Ahmed, Eid H. Doha

Publication date: 11 April 2014

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Poisson's equationhypergeometric seriesspectral methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials ⋮ Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions ⋮ A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems ⋮ On Jacobi polynomials and fractional spectral functions on compact symmetric spaces ⋮ Descriptions of fractional coefficients of Jacobi polynomial expansions ⋮ New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems

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