q-Bessel Function q-Hankel Transform 44A15 33D15 81Q99
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 9, No 4, (2006), 371p-384p
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.