Şimşek, Yılmaz2021-10-252021-10-252008-10Özden, H. ve Şimşek, Y. (2008). ''A new extension of q-Euler numbers and polynomials related to their interpolation functions''. Applied Mathematics Letters, 21(9), 934-939.0893-9659https://doi.org/10.1016/j.aml.2007.10.005https://www.sciencedirect.com/science/article/pii/S0893965907002947http://hdl.handle.net/11452/22465In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers.eninfo:eu-repo/semantics/closedAccessP-adic Volkenborn integralTwisted q-Euler numbers and polynomialsZeta and l-functionsFunction evaluationInterpolationPolynomial approximationDirichletEuler numbersGenerating functionsInterpolation functionsMellin transformationNegative integersNew approachesZeta functionsPolynomialsArticle0002584381000102-s2.0-47049097831934939219Mathematics, appliedEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral