Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

Authors : Umar Muhammad Abubakar

Pages : 1-10

Doi:10.54187/jnrs.947322

View : 20 | Download : 8

Publication Date : 2021-12-31

Article Type : Research

Abstract :Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology. In this work, generalized Euler-type integrals involving four parameters Mittag-Leffler function are proposed. Some special cases of this type of generalized integrals that are corresponding to well-known results in the literature are also inferred.
Keywords : Factorial function, Pochhemmer symbol, Beta function, Mittag-Leffler function, Euler-type integrals