Some Explicit Formula of Hurwitz Lerch type Poly-Cauchy Polynomials and Poly-Bernoulli Polynomials

Authors

  • Noel Lacpao Bukidnon State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4825

Keywords:

polylogarithm factorial functions, poly-Cauchy numbers of the first and second kind, poly-Bernoulli numbers, Hurwitz–Lerch factorial zeta function, generating function

Abstract

In this paper, the Hurwitz-Lerch poly-Cauchy and poly-Bernoulli polynomials are defined using polylogarithm factorial function. Some properties of these types of polynomials were also established. Specifically, two different forms of explicit formula of Hurwitz-Lerch type poly-Cauchy polynomials were obtained using Stirling numbers of the first and second kinds and an explicit formula of Hurwitz-Lerch type poly-Bernoulli polynomials was established using the Stirling numbers of the first kind.

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Published

2023-07-30

Issue

Section

Nonlinear Analysis

How to Cite

Some Explicit Formula of Hurwitz Lerch type Poly-Cauchy Polynomials and Poly-Bernoulli Polynomials. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1747-1761. https://doi.org/10.29020/nybg.ejpam.v16i3.4825