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

Edres, Rahima S.; Fernandez, Jezer C.

doi:10.28919/cpr-pajm/5-19

Research article

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

Rahima S. Edres, Jezer C. Fernandez

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.

How to cite

R. S. Edres, J. C. Fernandez, On Hermite-Based Multi-Poly-Genocchi Polynomials with Parameters a, b, and c, Pan-Amer. J. Math. 5 (2026), 19. https://doi.org/10.28919/cpr-pajm/5-19

BibTeX

@article{Edres2026,
  author  = {Edres, Rahima S. and Fernandez, Jezer C.},
  title   = {On Hermite-Based Multi-Poly-Genocchi Polynomials with Parameters a, b, and c},
  journal = {Pan-Amer. J. Math.},
  volume  = {5},
  year    = {2026},
  pages   = {19},
  doi     = {10.28919/cpr-pajm/5-19}
}