Sahin, RecepYaggi, OguzYagbasan, BakiKiymaz, I. OnurCetinkaya, Aysegul2020-06-252020-06-252018closedAccess2217-4303https://hdl.handle.net/20.500.12587/7474Kiymaz, I. Onur/0000-0003-2375-0202; Kiymaz, I. Onur/0000-0003-2375-0202In this paper, we present further generalizations of gamma and beta functions by adding extra parameters to their integral representations. Then we introduce new generalizations of hypergeometric and confluent hypergeometric functions by using new beta function. We also obtain many interesting properties such as integral transforms, differentiation formulas, Mellin transforms, transformation formulas, differential and difference relations and a summation formula.eninfo:eu-repo/semantics/closedAccessHypergeometric functionGamma and Beta functionsIntegral representationsMellin transformsDifference operatorSummation formulaArticle9417WOS:000454338200001N/A