A q-Analogue of the Wronskian and a Second Solution of the Hahn-Exton q-Bessel Difference Equation

DOI10.2307/2160480zbMath0822.33009OpenAlexW4247136051MaRDI QIDQ4290812

Rene F. Swarttouw, Henk G. Meijer

Publication date: 5 May 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160480

zbMATH Keywords

\(q\)-difference equation\(q\)-Bessel functionHahn-Exton

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other basic hypergeometric functions and integrals in several variables (33D70)

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q-Titchmarsh-Weyl theory: series expansion ⋮ On q-analogs of Struve functions ⋮ Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices ⋮ A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis ⋮ On the complex difference equation of hypergeometric type on non-uniform lattices ⋮ Linear \(q\)-difference equations ⋮ Paley-Wiener theorem for the \(q\)-Bessel transform and associated \(q\)-sampling formula ⋮ Functions 𝑞-orthogonal with respect to their own zeros ⋮ Generalized quantum exponential function and its applications

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