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

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UDC 517.5 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… Click to show full abstract

UDC 517.5 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, and also show some relations with $(p,q)$-poly-Bernoulli polynomials and $(p,q)$-poly-Cauchy polynomials. The $(p,q)$-analogues generalize the well-known concept of the $q$-analogue.

Keywords: analog poly; poly euler; euler polynomials; polynomials related; related polynomials

Journal Title: Ukrainian Mathematical Journal
Year Published: 2020

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