Şimşek, Yılmaz2021-12-072021-12-072009-12-15Cangül, İ. N. vd. (2009). "A new approach to q-genocchi numbers and their interpolation functions". Nonlinear Analysis-Theory Methods and Applications, 71(12), 793-799.0362-546Xhttps://doi.org/10.1016/j.na.2008.11.040https://www.sciencedirect.com/science/article/pii/S0362546X08007670http://hdl.handle.net/11452/23039The aim of this paper is to define generating functions of higher order q-Genocchi numbers by using a p-adic q-deformed fermionic integral on Z(p). We give Witt's type integral of these numbers. Furthermore we give the interpolation functions of these numbers.eninfo:eu-repo/semantics/closedAccessBernoulli numbersEuler numbersHigher order twisted q-Genocchi numbersInterpolation functionsP-adic q-deformed fermionic integralQ-euler numbersQ-bernoulli numbersAdic q-integralsQ)-bernoulli numbersTwisted eulerQ-extensionL-seriesPolynomialsProducts(HMathematicsFermionsFunction evaluationBernoulli numbersEuler numbersGenerating functionsHigher orderInterpolation functionNew approachesInterpolationArticle0002779528002522-s2.0-721491081347937997112Mathematics, appliedMathematicsEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral