A $(p,q)$-Analogue of Poly-Euler Polynomials and Some Related Polynomials
Number Theory
2016-04-14 v1
Abstract
In the present article, we introduce a -analogue of the poly-Euler polynomials and numbers by using the -polylogarithm function. These new sequences are generalizations of the poly-Euler numbers and polynomials. We give several combinatorial identities and properties of these new polynomials. Moreover, we show some relations with the -poly-Bernoulli polynomials and -poly-Cauchy polynomials. The -analogues generalize the well-known concept of the -analogue.
Keywords
Cite
@article{arxiv.1604.03787,
title = {A $(p,q)$-Analogue of Poly-Euler Polynomials and Some Related Polynomials},
author = {Takao Komatsu and José L. Ramírez and Víctor F. Sirvent},
journal= {arXiv preprint arXiv:1604.03787},
year = {2016}
}