Özmen, NejlaÇin, Yahya2026-07-012026-07-0120252148-1830https://doi.org/10.47000/tjmcs.1670975https://search.trdizin.gov.tr/tr/yayin/detay/1375568https://hdl.handle.net/20.500.12684/23112In this paper, we present the sum expressions and generating function relations for the generalized k-hypergeometric polynomials in two variables. The methods used here are inspired by previous works, such as those found in [21,23,24]. We establish several theorems and demonstrate their applications for the generalized two variable k-hypergeometric polynomials, providing their integral representation. Furthermore, we explore various recurrence relations for the generalized polynomials In,k (α; β; x, y), as discussed in references (3.2) and (3.4). The results presented are expected to contribute to the further understanding and application of these polynomials in mathematical and applied contexts. © MatDer.en10.47000/tjmcs.1670975info:eu-repo/semantics/openAccessGamma and beta k-functiongeneralized two variable k−hypergeometric polynomialsgenerating functionintegral representationmultilinear and multilateral generating functionsrecurrence relationsArticle17249651113755682-s2.0-105027663864Q41670975