Positivity of the generalized translation associated with the \(q\)-Hankel transform

DOI10.1007/s00365-011-9132-0zbMath1247.33030OpenAlexW2077494136MaRDI QIDQ662812

Lazhar Dhaouadi, Ahmed Fitouhi

Publication date: 13 February 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-011-9132-0

zbMATH Keywords

\(q\)-Hankel transform\(q\)-Bessel transformGraf's addition formula

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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Cites Work

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• The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function
• The \textit{q-j}\(_\alpha\) Bessel function
• A \(q\)-analogue of Graf's addition formula for the Hahn-Exton \(q\)-Bessel function
• Elements of harmonic analysis related to the third basic zero order Bessel function
• The Weierstrass Hankel convolution transform
• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions

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