Integral transforms involving a generalized k-Bessel function

Abstract

The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler transform, Whittaker transform, and kk-transforms. The results presented here have the potential to be helpful, and some special cases of corollaries are explicitly demonstrated.

Keywords

• k-gamma function
• generalized k-bessel function
• integral transforms
• 33c10
• 33c60
• 33b15
• 65r10