English

Explicit Formulas involving q-Euler Numbers and Polynomials

Number Theory 2013-08-14 v2

Abstract

In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator. Also, we show between the q-Euler numbers and q-Bernoulli numbers via the p-adic q-integral in the p-adic integer ring.

Keywords

Cite

@article{arxiv.1203.6399,
  title  = {Explicit Formulas involving q-Euler Numbers and Polynomials},
  author = {Serkan Araci and Mehmet Acikgoz and Jong Jin Seo},
  journal= {arXiv preprint arXiv:1203.6399},
  year   = {2013}
}

Comments

9 pages, submitted

R2 v1 2026-06-21T20:41:34.007Z