A ( p , q ) analogue of Poly-Euler polynomials and some related polynomials

摘要

In the present article, we introduce a $(p,q)$-analogue of the poly-Eulerpolynomials and numbers by using the $(p,q)$-polylogarithm function. These newsequences are generalizations of the poly-Euler numbers and polynomials. Wegive several combinatorial identities and properties of these new polynomials.Moreover, we show some relations with the $(p,q)$-poly-Bernoulli polynomialsand $(p,q)$-poly-Cauchy polynomials. The $(p,q)$-analogues generalize thewell-known concept of the $q$-analogue.