On a general \(q\)-Fourier transformation with nonsymmetric kernels

DOI10.1016/0377-0427(95)00259-6zbMath0871.33008arXivmath/9411229OpenAlexW1992606731MaRDI QIDQ1919441

Mizan Rahman, Sergei K. Suslov, Richard Askey

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9411229

zbMATH Keywords

\(q\)-analoguesclassical Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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Cites Work

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• Positivity of the Poisson Kernel for the Continuous q-Jacobi Polynomials and Some Quadratic Transformation Formulas for Basic Hypergeometric Series
• An Addition Theorem and Some Product Formulas for q-Bessel Functions
• The q-harmonic oscillator and an analogue of the Charlier polynomials
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