On some Turán-type inequalities forq-special functions
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Publication:5374257
DOI10.1080/10236198.2017.1391236zbMath1384.33032OpenAlexW2766592554MaRDI QIDQ5374257
Khaled Mehrez, Meryam Ben Said, Jamel El Kamel
Publication date: 10 April 2018
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2017.1391236
Turán-type inequalitiesmodified \(q\)-Bessel functions\(q\)-Dunkl kernelMacdonald \(q\)-Bessel functions
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Orthogonal polynomials and functions associated with root systems (33C52)
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Cites Work
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- Generalized Bessel functions of the first kind
- Turán inequalities for symmetric orthogonal polynomials
- On some Turán-type inequalities
- Product formula for the generalized q-Bessel function
- Fock Spaces for the q-Dunkl Kernel
- An Addition Theorem and Some Product Formulas for q-Bessel Functions
- The Basic Bessel Functions and Polynomials
- Liouville quantum mechanics on a lattice from geometry of quantum Lorentz group
- On Turán type inequalities for modified Bessel functions
- On an inequality of P. Turán concerning Legendre polynomials
- Inequalities for Bessel functions