Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties

Waseem Ahmad Khan, Hassen Aydi, Musharraf Ali, Mohd Ghayasuddin, Jihad Younis and Zakia Hammouch

Journal of Mathematics, 2021, vol. 2021, 1-14

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5386644

DOI: 10.1155/2021/5386644

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