Sahin, RecepYagci, Oguz2025-01-212025-01-2120202444-8656https://doi.org/10.2478/AMNS.2020.1.00035https://hdl.handle.net/20.500.12587/24844Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..eninfo:eu-repo/semantics/openAccessGamma function; beta function; hypergeometric functions; extended hypergeometric function; integral transforms; fractional calculus operators; generating functionsArticle5136938410.2478/AMNS.2020.1.00035WOS:000664154800034N/A