On $q^2$-trigonometric functions and their $q^2$-Fourier transform

Published 7 Nov 2019 in math-ph and math.MP | (1911.02841v1)

Abstract: In this paper, we first construct generalized $q^2$-cosine, $q^2$-sine and $q^{2$-exponential} functions. We then use $q^{2$-exponential} function in order to define and investigate a $q^2$-Fourier transform. We establish $q$-analogues of inversion and Plancherel theorems.

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Sama Arjika

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