A finite and an infinite Whittaker integral transform

DOI10.1016/S0898-1221(03)90241-0zbMath1055.44004OpenAlexW2087269345MaRDI QIDQ1876494

Fadhel A. Al-Musallam, Tuan, V. K.

Publication date: 20 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90241-0

zbMATH Keywords

Whittaker functionindex transformationIntegral transformCherry transformSingular Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (3)

Weyl operator associated with index Whittaker transform ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Unnamed Item

Cites Work

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• Generalization of a theorem of Boas to a class of integral transforms
• SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
• A whittaker transform over a half-line
• The Cherry Transform and its Relationship with a Singular Sturm-liouville Problem
• Notes on the Theory and Application of Fourier Transforms, III, IV, V, VI, VII
• Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system

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