Abstract
The main motive of this study is to present a new class of a generalized
k
-Bessel–Maitland function by utilizing the
k
-gamma function and Pochhammer
k
-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whittaker transform, beta transform, and so forth) for our presented
k
-Bessel–Maitland function. Also, the
k
-fractional integration and
k
-fractional differentiation of abovementioned
k
-Bessel–Maitland functions are also pointed out systematically.