Abstract
In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials.
Highlights
Numerous mathematicians including Kim and Ryoo [1], Kim and Kim [2], Kim et al [3,4,5], Khan [6,7] have concentrated their study on polynomials and its combination with Bernoulli, Genocchi, Euler, and tangent numbers
One of the essential classes of these sequences is the class of Appell polynomials
In (2015), Kim et al [10] introduced the poly-Genocchi polynomials are defined by means of the following generating function
Summary
Numerous mathematicians including Kim and Ryoo [1], Kim and Kim [2], Kim et al [3,4,5], Khan [6,7] have concentrated their study on polynomials and its combination with Bernoulli, Genocchi, Euler, and tangent numbers. In (2015), Kim et al [10] introduced the poly-Genocchi polynomials are defined by means of the following generating function. Jamei et al [13,14] introduced and investigated the new type of Bernoulli and Genocchi polynomials defined by means of the following generating function t tn (c) xt e cos yt x, y et − 1 n!
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