A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT (α,ω)

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 2,  2012, pp.183-190
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.2.183
Title & Authors
A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT (α,ω)
Rim, Seog-Hoon; Jeong, Joo-Hee;

Abstract
The main purpose of this paper is to introduce a new type of $\small{q}$-Euler numbers and polynomials with weak weight ($\small{{\alpha}}$,$\small{{\omega}}$): $\small{\tilde{E}^{({\alpha},{\omega})}_{n,q}}$ and $\small{\tilde{E}^{({\alpha},{\omega})}_{n,q}(x)}$, respectively. By using the fermionic $\small{p}$-adic $\small{q}$-integral on $\small{\mathbb{Z}_p}$, we can obtain some results and derive some recurrence identities for the $\small{q}$-Euler numbers and polynomials with weak weight ($\small{{\alpha}}$,$\small{{\omega}}$).
Keywords
q-Euler numbers;polynomials with weight;fermionic p-adic q-integral;
Language
English
Cited by
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