On basic Fourier-Bessel expansions

DOI10.3842/SIGMA.2018.035zbMath1388.42075arXiv1707.05216OpenAlexW2739178736MaRDI QIDQ1749886

José Luis Cardoso

Publication date: 17 May 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05216

zbMATH Keywords

asymptotic behaviorbasic hypergeometric functionRiemann-Lebesgue theoremHahn-Exton \(q\)-Bessel functionthird Jackson \(q\)-Bessel functionbasic Fourier-Bessel expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (4)

Variations around a general quantum operator ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator

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