Asif, MuhammadKhan, AdnanAkgul, AliShimelis, Biniyam2024-12-242024-12-2420231752-28621752-2870https://doi.org/10.1504/IJANS.2023.133731https://hdl.handle.net/20.500.12604/7380Special 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.eninfo:eu-repo/semantics/closedAccessBeta functionsEuler-type functionGamma functionk-Wright functionArticle414757Q4WOS:00107976330000410.1504/IJANS.2023.133731