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On Hermite-Based Multi-Poly-Genocchi Polynomials with Parameters a, b, and c

Rahima S. Edres, Jezer C. Fernandez

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Source: Crossref

Published: Oct 12, 2026

DOI: 10.28919/cpr-pajm/5-19

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Source abstract

In this paper, we introduced the Hermite-based multi-poly-Genocchi polynomials with parameters a, b, and c by means of multiple polylogarithm. We then derive some fundamental properties such as addition formula, explicit formula, implicit summation formulae, and derivative and integral formulas. Moreover, we establish the relationship between these polynomials with multi-poly-Bernoulli polynomials.

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On Hermite-Based Multi-Poly-Genocchi Polynomials with Parameters a, b, and c — Mathematical Frontier Network