On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function

DOI10.1080/00207169508804391zbMath0853.33010OpenAlexW2098376053MaRDI QIDQ4876344

S. I. El-Soubhy, Eid H. Doha

Publication date: 16 December 1996

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169508804391

zbMATH Keywords

recurrence relationsLegendre seriesLegendre polynomialsspectral methods

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) 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 ordinary differential equations (65L99)

Related Items

An optimal ultraspherical approximation of integrals ⋮ The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function ⋮ Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials ⋮ On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials

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