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

Ilyes Karoui, Lazhar Dhaouadi, Wafa Binous, Meniar Haddad

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.


Keywords


q-Harmonic Analysis; q-Bessel-Wright function; q-Bessel-Wright transform; q-Hardy transform

Subject classification

33D15;47A70

Sponsor(s)



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References


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