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arXiv · 1604.03787

A $(p,q)$-Analogue of Poly-Euler Polynomials and Some Related Polynomials

Takao Komatsu·José L. Ramírez·Víctor F. Sirvent
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Abstract

In the present article, we introduce a $(p,q)$-analogue of the poly-Euler polynomials and numbers by using the $(p,q)$-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 $(p,q)$-poly-Bernoulli polynomials and $(p,q)$-poly-Cauchy polynomials. The $(p,q)$-analogues generalize the well-known concept of the $q$-analogue.

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Takao Komatsu, José L. Ramírez, Víctor F. Sirvent. 2016-04-13. A $(p,q)$-Analogue of Poly-Euler Polynomials and Some Related Polynomials. https://arxiv.org/abs/1604.03787

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