1Department of Mathematics, Kano University of Science and Technology, Wudil, P.M.B.: 3244Kano State-Nigeria, E-mail: umabubakar347@gmail.com
2Department of Mathematics, Jai Narain Vyas University, Jodhpur, Rajasthan-342005, India, E-mail: nareshdudi@yahoo.co.in
*Corresponding author E-mail: nareshdudi@yahoo.co.in
Online Published on 28 June, 2023.
The main object of this paper is to introduce a new generalized extended Wright function, for the new generalized extended Wright function properties such as integral representations, Euler’s beta, Mellin, inverse Mellin, Jacobi, Gegenbaur, and Legendre transforms are proposed and investigated. Moreover, some derivative formulas, classical and extended Riemann-Liouville fractional derivative and integral are also proposed.
Confluent hypergeometric function, Euler’s gamma function, Euler’s beta function, Wright function, Mellin transform, Jacobi transform