Title: Some results on generalised Euler-type integrals related to the k-Wright function

Authors: Muhammad Asif; Adnan Khan; Ali Akgül; Biniyam Shimelis

Addresses: Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan ' Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan ' Department of Mathematics, Faculty of Art and Science, Siirt University, Siirt 56100, Turkey; Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, 99138, Nicosia/Mersin 10, Turkey ' Department of Mathematics, College of Natural Sciences, Wollo University, P.O. Box 1145, Dessie, Ethiopia

Abstract: Special functions such that Zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and k-Wright functions are obtained as a solution to complex differential equations in engineering. In this work, generalised Euler-type integrals involving k-Wright function are suggested. Some special cases of this type of generalised integrals that are corresponding to well-known results in the literature are also inferred. We also study extended beta and associated functions (Gauss hypergeometric and confluent hypergeometric functions) connected to k-Wright function. For the newly extended beta, Gauss hypergeometric and confluent hypergeometric functions.

Keywords: Beta functions; Euler-type function; Gamma function; k-Wright function.

DOI: 10.1504/IJANS.2023.133731

International Journal of Applied Nonlinear Science, 2023 Vol.4 No.1, pp.47 - 57

Received: 28 Sep 2022
Accepted: 16 Jan 2023
Published online: 02 Oct 2023 *

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