Some results on generalised Euler-type integrals related to the k-Wright function
by Muhammad Asif; Adnan Khan; Ali Akgül; Biniyam Shimelis
International Journal of Applied Nonlinear Science (IJANS), Vol. 4, No. 1, 2023

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.

Online publication date: Mon, 02-Oct-2023

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