Hankel Transform in Quantum Calculus and Applications
Mathematics Subject Classification: 44A15, 33D15, 81Q99 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.