On a one-parameter family ofq-exponential functions

DOI10.1088/0305-4470/29/10/001zbMath0897.33018OpenAlexW2003416345MaRDI QIDQ4389926

Natig M. Atakishiyev

Publication date: 11 October 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/10/001

zbMATH Keywords

\(q\)-exponential functionsFourier-Gauss transformation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (8)

Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials ⋮ Generalized probability functions ⋮ Generalized \(q\)-Bessel function and its properties ⋮ On lifting \(q\)-difference operators for a chain of basic hypergeometric polynomials ⋮ Analytical approximation formulas in quantum calculus ⋮ Improved \(q\)-exponential and \(q\)-trigonometric functions ⋮ A Wannier function made from distributed Gaussians ⋮ On a class of nonlinear Volterra-Fredholm \(q\)-integral equations

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