Distributional derivatives and Abel summability of ultraspherical expansions

zbMath0422.46035MaRDI QIDQ1133728

Ahmed I. Zayed

Publication date: 1980

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

Gegenbauer polynomialAbel summabilitydistributional derivativeultraspherical expansionvalue of a distribution at a point

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55) Abel, Borel and power series methods (40G10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

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