Abstract

Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials. Some analytical properties of these parametric polynomials are also derived in a systematic manner. We will be able to find some identities of symmetry for those polynomials and numbers.

Highlights

  • Special functions, polynomials and numbers play a prominent role in the study of many areas of mathematics, physics and engineering

  • The Appell polynomials and numbers are frequently used in the development of pure and applied mathematics related to functional equations in differential equations, approximation theories, interpolation problems, summation methods, quadrature rules and their multidimensional extensions.The sequence of Appell polynomials

  • The main object of this article is to present the parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials in terms of the degenerate type parametric exponential functions

Read more

Summary

Introduction

Polynomials and numbers play a prominent role in the study of many areas of mathematics, physics and engineering. The degenerate poly-Bernoulli and poly-Genocchi polynomials are defined by (see [12,13,14]). Kim et al [2] introduced the following degenerate type parametric exponential functions:. Motivated by the importance and potential applications in certain problems in number theory, combinatorics, classical and numerical analysis and physics, several families of degenerate Bernoulli and Euler polynomials and degenerate versions of special polynomials have been recently studied by many authors, (see [3,4,5,11,12,13,16]). The main object of this article is to present the parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials in terms of the degenerate type parametric exponential functions. We investigate some fundamental properties of our introduced parametric polynomials

Parametric Kinds of the Degenerate Poly-Bernoulli Polynomials
Parametric Kinds of Degenerate Poly-Genocchi Polynomials
Conclusions
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.