Degenerate Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters $a$ and $b$

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4694

Keywords:

poly-Genocchi polynomials, degenerate exponential function, polyexponential function, polylogarithm, Frobenius polynomials, Appell Polynomials, Euler Polynomials, Bernoulli Polynomials

Abstract

This paper introduces another variation of poly-Genocchi polynomials by mixing the concept of modified degenerate polyexponential function, Apostol-Genocchi polynomials and Frobenius polynomials. These polynomials are called the degenerate Apostol-Frobenius-type poly-Genocchi polynomials with parameters a and b. Several identities and formulas are derived including recurrence relations, explicit formulas and certain differential identity. Moreover, some relations are established connecting these polynomials to degenerate Stirling numbers of the first and second kind, higher order degenerate Bernoulli polynomials, and higher order degenerate Frobenius-Euler polynomials.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Degenerate Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters $a$ and $b$. (2023). European Journal of Pure and Applied Mathematics, 16(2), 687-712. https://doi.org/10.29020/nybg.ejpam.v16i2.4694