MathLAB Journal

Generalized Weinstein Transform in Quantum Calculus

Abstract

Youssef Bettaibi, Hassen Ben Mohamedl

In this paper, we introduce a q-analogue of the Weinstein operator and we investigate its eigenfunction. Next, we
define and study its associated Fourier transform which is a q-analogue of the Weinstein transform. In addition to
several properties, we establish an inversion formula and prove a Plancheral theorem for this q-Weinstein transform

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