Explicit Formulas involving q-Euler Numbers and Polynomials

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.

9 pages, submitted

References in corpus (1)

• On the weighted q-Bernoulli numbers and polynomials

Cited by in corpus (6)

• Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
• Extended q-Dedekind-type Daehee-Changhee sums associated with Extended q-Euler polynomials
• A note on the modified q-Dedekind sums
• Extended fermionic $p$-adic integrals on ${\mathbb{Z}}_p$
• p-adic interpolation function related to multiple generalized Genocchi numbers
• Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus