On the Singularities of Gegenbauer (Ultraspherical) Expansions

DOI10.2307/1999841zbMath0446.46031OpenAlexW4239812310MaRDI QIDQ3891220

Ahmed I. Zayed

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1999841

zbMATH Keywords

analytic representationGegenbauer polynomialAbel summabilityvalue of a distribution at a pointseries of Jacobi polynomialsGegenbauer expansionsmultiplication of singularities

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

On the Singularities of Continuous Legendre Transforms

Cites Work

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• Constructive methods for elliptic equations
• Expansions of Distributions
• A generalization of a theorem of Nehari
• Bergman's Integral Operator Method in Generalized Axially Symmetric Potential Theory
• On Real Singularities of Legendre Expansions

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