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

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.

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Publication Details

Journal
Pan-American Journal of Mathematics
Published
2025-10-03
DOI
https://doi.org/10.28919/cpr-pajm/4-16
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Maida B. Macababat, Nestor G. Acala
Pan-American Journal of Mathematics
Advanced Mathematical Theories and Applications
article

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

Maida B. Macababat, Nestor G. Acala
article en

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.

Pan-American Journal of MathematicsVol. 4
Mindanao State University (PH)
Openalex Percentile: Top 78%
Advanced Mathematical Theories and Applications
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