Bivariate Poly-Fubini Polynomials and Numbers of Parameters a,b,c

Acala, Nestor G.; Macababat, Maida B.

doi:10.28919/cpr-pajm/4-16

Research article

Bivariate Poly-Fubini Polynomials and Numbers of Parameters a,b,c

Nestor G. Acala, Maida B. Macababat

Abstract

In this paper, a new class of poly-Fubini polynomials and numbers with a, b, c parameters that generalizes classical Fubini polynomials and numbers is introduced. Fundamental properties of these bivariate polyFubini polynomials such as addition formulas, explicit formulas, derivative and integral formulas and other summation identities are established. Moreover, we also obtain relations of these generalized bivariate poly-Fubini polynomials with the classical Fubini polynomials and numbers, bivariate Fubini polynomials, Stirling numbers of the second kind and other special polynomials and numbers.

How to cite

N. G. Acala, M. B. Macababat, Bivariate Poly-Fubini Polynomials and Numbers of Parameters a,b,c, Pan-Amer. J. Math. 4 (2025), 16. https://doi.org/10.28919/cpr-pajm/4-16

BibTeX

@article{Acala2025,
  author  = {Acala, Nestor G. and Macababat, Maida B.},
  title   = {Bivariate Poly-Fubini Polynomials and Numbers of Parameters a,b,c},
  journal = {Pan-Amer. J. Math.},
  volume  = {4},
  year    = {2025},
  pages   = {16},
  doi     = {10.28919/cpr-pajm/4-16}
}