Kurt, VeliŞimşek, YılmazPak, Hong KyungRim, Seog Hoon2023-03-082023-03-082007-02-01Cangül, İ. N. vd. (2007). "An invariant p-adic q-integral associated with q-Euler numbers and polynomials". Journal of Nonlinear Mathematical Physics, 14(1), 8-14.1402-92511776-0852https://doi.org/10.2991/jnmp.2007.14.1.2https://www.atlantis-press.com/journals/jnmp/1129http://hdl.handle.net/11452/31404The purpose of this paper is to consider q-Euler numbers and polynomials which are q-extensions of ordinary Euler numbers and polynomials by the computations of the p-adic q-integrals due to T. Kim, cf. [1, 3, 6, 12], and to derive the "complete sums for q-Euler polynomials" which are evaluated by using multivariate p-adic q-integrals. These sums help us to study the relationships between p-adic q-integrals and non-archimedean combinatorial analysis.eninfo:eu-repo/semantics/openAccessMathematicsPhysicsArticle0002470032000022-s2.0-33947147817814141Mathematics, appliedPhysics, mathematicalEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral