On the zeros of the q-analogue exponential function

DOI10.1088/0305-4470/27/11/034zbMath0841.05008OpenAlexW2095016782MaRDI QIDQ4868698

C. A. Nelson, Michael G. Gartley

Publication date: 14 July 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/11/034

zbMATH Keywords

exponential functionzerossum ruleasymptotic formulareciprocal functionproduct representationsHadamard-Weierstrass factorization theorem

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Entire functions of one complex variable (general theory) (30D20)

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Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials ⋮ A Pfaffian Representation for Flat ASEP ⋮ On lifting \(q\)-difference operators for a chain of basic hypergeometric polynomials ⋮ The \(q\)-Lidstone series involving \(q\)-Bernoulli and \(q\)-Euler polynomials generated by the third Jackson \(q\)-Bessel function ⋮ Perturbative equivalent theorem in \(q\)-deformed dynamics ⋮ Critical phenomenon of a consistent \(q\)-deformed squeezed state ⋮ Second order two-parametric quantum boundary value problems ⋮ Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\) ⋮ Structures of \(q\)-deformed currents ⋮ \(q\)-deformed dynamics and virial theorem

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