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Hansen-Lommel orthogonality relations for Jackson's \(q\)-Bessel functions

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Publication:1260824
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DOI10.1006/jmaa.1993.1181zbMath0777.33010OpenAlexW2030604907MaRDI QIDQ1260824

H. T. Koelink

Publication date: 5 September 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1181

zbMATH Keywords

\(q\)-Bessel functions\(q\)-Krawtchouk polynomials


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


Related Items

A class of functions with multi-dimensional Hansen-Lommel orthogonality, Expansion and asymptotic in terms of basic Bessel functions, The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function, The quantum group of plane motions and basic Bessel functions, Yet another basic analogue of Graf's addition formula, A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation, Self-adjoint difference operators and classical solutions to the Stieltjes--Wigert moment problem



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