Degenerate Poly-Type 2-Bernoulli Polynomials

Year 2021, , 1 - 8, 01.03.2021

Serkan Araci

https://doi.org/10.36753/mathenot.839111

Cited By: 3

Abstract

Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of negative integral orders. Inspired by their work, we consider a new class of generating functions of type 2-Bernoulli polynomials. We give some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the second kind.

Keywords

Bernoulli numbers and polynomials, Type 2-Bernoulli numbers and polynomials, Polylogarithm, Generating function, Degenerate

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