Generalized Laguerre-Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters a, b and c

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4505

Keywords:

poly-Genocchi polynomials, Laguerre polynomials, Apostol polynomial, Frobenius number, polylogarithm function, Appell polynomials, Euler ploynomials, Bernoulli polynomials

Abstract

In this paper, the generalized Laguerre-Apostol-Frobenius-type poly-Genocchi polyno- mials of higher order with parameters a, b and c are defined using the concept of polylogarithm, Laguerre, Apostol and Frobenius polynomials. These polynomials possess numerous properties including recurrence relations, explicit formulas and certain differential identity. Moreover, some connections of these higher order generalized Laguerre-Apostol-Frobenius-type poly-Genocchi poly- nomials to Stirling numbers of the second kind and different variations of higher order Euler and Bernoulli-type polynomials are obtained.

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Published

2022-10-31

Issue

Vol. 15 No. 4: (October 2022)

Section

Nonlinear Analysis

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Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

Generalized Laguerre-Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters a, b and c. (2022). European Journal of Pure and Applied Mathematics, 15(4), 1549-1565. https://doi.org/10.29020/nybg.ejpam.v15i4.4505

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