On q-analogues of the Mangontarum transform for certain q-Bessel functions and some application

Several q-analogues of certain integral transforms have been recently investigated by many authors in the recent past. In this paper, we introduce certain analogues of the so-called q-Mangontarum transform and implement the proposed variants to given classes of q-Bessel functions. The results of this paper are new and complement the previously known results of Mangontarum (2014). Some results related to q-Laplace transforms are also obtained.