On the Lévy-Khintchine representation of \(q\)-Bessel negative definite functions

DOI10.1007/s11117-011-0150-8zbMath1271.33007OpenAlexW2045382142MaRDI QIDQ2377401

Amel Safraoui, Ahmed Fitouhi, Lazhar Dhaouadi

Publication date: 28 June 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0150-8

zbMATH Keywords

Lévy-Khintchine formula\(q\)-Bessel functions\(q\)-Bessel negative definite

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Positivity of the generalized translation associated with theq-Hankel transform and applications

Cites Work

• \(q\)-Bessel positive definite and \(D _{q }\)-completely monotonic functions
• Positivity of the generalized translation associated with the \(q\)-Hankel transform
• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
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