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arxiv: 1604.03787 · v1 · pith:IRAQORNLnew · submitted 2016-04-13 · 🧮 math.NT

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

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keywords polynomialsanaloguepoly-eulernumberssomeanaloguesarticlecombinatorial
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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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