The Continuous (α, β)-Jacobi Transform and its Inverse when α+ β+ 1 is a Positive Integer

DOI10.2307/2000883zbMath0644.33014OpenAlexW4231691659MaRDI QIDQ3786739

Gilbert G. Walter, Ahmed I. Zayed

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000883

zbMATH Keywords

Jacobi transformJacobi functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems ⋮ Sampling theorem based Fourier-Legendre transform ⋮ On the inversion of integral transforms associated with Sturm-Liouville problems ⋮ The finite continuous Jacobi transform and its inverse ⋮ A 𝑞-sampling theorem and product formula for continuous 𝑞-Jacobi functions ⋮ Paley-Wiener-type theorems for a class of integral transforms

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