Inequalities related to the third Jackson \(q\)-Bessel function of order zero
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Publication:2436126
DOI10.1186/1029-242X-2013-289zbMath1282.33025WikidataQ59300077 ScholiaQ59300077MaRDI QIDQ2436126
Mouna Sellami, Ahmed Fitouhi, Hédi Ben Elmonser
Publication date: 21 February 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
\(q\)-convolution productthird Jackson \(q\)-Bessel function\(q\)-analogue of the Wiener algebra\(q\)-heat semi-group
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (3)
Moduli of smoothness and generalized canonical Fourier-Bessel differential operator on the half-line ⋮ On basic Fourier-Bessel expansions ⋮ A few properties of the third Jackson \(q\)-Bessel function
Cites Work
- Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
- 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
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