Sahin, RecepYagci, Oguz2025-01-212025-01-2120202444-8656https://doi.org/10.2478/AMNS.2020.1.00023https://hdl.handle.net/20.500.12587/24072In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeometric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.eninfo:eu-repo/semantics/openAccessgamma function; beta function; Pochhammer symbol; Gauss hypergeometric function; confluent hypergeometric function; Appell hypergeometric functions; Humbert hypergeometric functions of two variables; integral representations; derivative formulas; recurrence relationArticle5125526610.2478/AMNS.2020.1.00023WOS:000664154800023N/A