On the zeros of basic finite Hankel transforms

DOI10.1016/j.jmaa.2005.11.020zbMath1108.44002OpenAlexW2088318233MaRDI QIDQ855426

N. E. Zubov

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.020

zbMATH Keywords

asymptotic behaviorbasic hypergeometric series\(q\)-type finite Hankel transformzeros of \(q\)-functionszeros of entire functions of order zero

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (8)

q-Titchmarsh-Weyl theory: series expansion ⋮ On q-analogs of Struve functions ⋮ Radii of starlikeness and convexity of $q-$Mittag--Leffler functions ⋮ A basic analog of a theorem of Pólya ⋮ Linear \(q\)-difference equations ⋮ Asymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problems ⋮ On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms ⋮ On reality and asymptotics of zeros of \(q\)-Hankel transforms

Cites Work

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• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Some basic Lommel polynomials
• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• The roots of the third J. Jckson \(q\)-Bessel function
• The Basic Bessel Functions and Polynomials
• On q-Analogues of the Fourier and Hankel Transforms
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
• Basic analog of Fourier series on a \(q\)-linear grid.

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