The pathway integral operator involving extension of k-Bessel-Maitland function

Year 2021, Issue: 2, 60 - 73, 30.10.2021

Moin Ahmad Saurabh Porwal

https://doi.org/10.47087/mjm.752726

Abstract

It has a wide application in the problem of physics, chemistry, biology, engineering and applied sciences. The theory of Bessel functions is intimately connected with the theory of certain types of differential equations. A detail account of applications of Bessel functions are given in the book of Watson [26]. In this present paper, we establish generalized extension of k-Bessel-Maitland function involving pathway integral operator. we obtain certain composition formulas with pathway fractional integral operators. Further more, Some interesting special cases involving Bessel
functions, generalized Bessel functions, generalized Mittag-Leffer functions, generalized k-Mittag-Leffer functions are deduced.\\

Keywords

Bessel-Maitland function, fractional calculus, pathway integral

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