Geodesic
Hankel Transform in Quantum Calculus and Applications
Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 371-384.

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This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.
Keywords: q-Bessel Function, q-Hankel Transform, 44A15, 33D15, 81Q99 
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     title = {Hankel {Transform} in {Quantum} {Calculus} and {Applications}},
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Haddad, Meniar. Hankel Transform in Quantum Calculus and Applications. Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 371-384. http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a3/