A new extension of Bessel-Maitland function and its properties

M. Ghayasuddin, W. A. Khan

This paper deals with a new extended Bessel-Maitland function. The $m^{th}$ differentiation, Beta transform, Laplace transform, Whittaker transform and various other transforms for our new extended Bessel-Maitland function are presented here. Further, the Riemann-Liouville fractional integration and differentiation for the function introduced here are also indicated.