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

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