Şimşek, Yılmaz2022-03-082022-03-082008-08Cangül, İ. N. vd. (2008). ''Generating functions of the (h, q) extension of twisted Euler polynomials and numbers''. Acta Mathematica Hungarica, 120(3), 281-299.0236-5294https://doi.org/10.1007/s10474-008-7139-1https://link.springer.com/article/10.1007%2Fs10474-008-7139-1http://hdl.handle.net/11452/24901By using p-adic q-deformed fermionic integral on Z(p), we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying Mellin transformation and derivative operator to these functions; we define twisted (h, q)-extension of zeta functions and 1-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.eninfo:eu-repo/semantics/closedAccessMathematicsP-adic Volkenborn integralTwisted q-Euler numbers and polynomialsZeta and l-functionsAdic q-integralsQ-bernoulli polynomialsQ-zeta functionsQ)-bernoulli numbersL-series(HArticle0002590348000052-s2.0-483491474572812991203MathematicsEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral