Korean J. Math. Vol. 29 No. 2 (2021) pp.253-266
DOI: https://doi.org/10.11568/kjm.2021.29.2.253

Bessel-Wright transform in the setting of quantum calculus

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Published: Jun 30, 2021
Keywords:
q-Harmonic Analysis, q-Bessel-Wright function, q-Bessel-Wright transform, q-Hardy transform
Mathematics Subject Classification:
33D15, 47A70

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Ilyes Karoui
Facult e des Sciences de Tunis, 1060 Tunis, Tunisia.
Lazhar Dhaouadi
I.P.E.Bizerte, 7021 Zarzouna, Tunisia
Wafa Binous
Institut pr eparatoire aux etudes d'ing enieurs de Tunis, 1060 Tunis, Tunisia.
Meniar Haddad
Facult e des Sciences de Tunis, 1060 Tunis, Tunisia.

Abstract

This work is devoted to the study of a $q$-harmonic analysis related to the $q$-analog of the Bessel-Wright integral transform [6]. We establish some important properties of this transform and we focalise our attention in studying the associated transmutation operator.



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