WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Evaluating Complex Inverse Formulas for q-Sumudu Transforms
Authors: , ,
Abstract: In this paper, q-analogues of the Sumudu transform, along with an inversion formula and some explicit
computations, are presented. This work essentially focuses on q-analogues of the inverse Sumudu transform and
the construction method of the inversion formula via a path integral along a Bromwich contour. It is also shown
how the complex inversion formulas considered in this paper admit q-expansions that yield various inverse q-
Sumudu transforms for q-series.