Product formula for the generalized q-Bessel function

DOI10.1080/10236198.2016.1234615zbMath1357.33018OpenAlexW2521305949MaRDI QIDQ2964240

Meryam Ben Said, Jamel El Kamel

Publication date: 23 February 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1234615

zbMATH Keywords

\(q\)-Bessel functionsTurán type inequalitiesproduct formulamodified \(q\)-Bessel functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

On some Turán-type inequalities forq-special functions

Cites Work

• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Generalized \(q\)-Bessel function and its properties
• An Addition Theorem and Some Product Formulas for q-Bessel Functions
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
• On Turán type inequalities for modified Bessel functions

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