On Gould-Hopper-based Bivariate Fubini polynomials

In this paper, a Gould-Hopper-based generalization of Fubini polynomials which are referred to as the Gould-Hopper-based bivariate Fubini polynomials were introduced. Also, properties such as addition formula, explicit formula, implicit formula, recurrence formula and symmetric identities are obtained. Moreover, some relations between the Gould-Hopper-based bivariate Fubini polynomials and some of the other special polynomials and numbers, such as the 2-variable Gould-Hopper polynomials and the Stirling number of the second kind were investigated.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5957
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

On Gould-Hopper-based Bivariate Fubini polynomials

Normalah Sharief Abdulcarim, Raimah Bago
European Journal of Pure and Applied Mathematics
Advanced Mathematical Theories and Applications
article

On Gould-Hopper-based Bivariate Fubini polynomials

Normalah Sharief Abdulcarim, Raimah Bago
article en

Abstract

In this paper, a Gould-Hopper-based generalization of Fubini polynomials which are referred to as the Gould-Hopper-based bivariate Fubini polynomials were introduced. Also, properties such as addition formula, explicit formula, implicit formula, recurrence formula and symmetric identities are obtained. Moreover, some relations between the Gould-Hopper-based bivariate Fubini polynomials and some of the other special polynomials and numbers, such as the 2-variable Gould-Hopper polynomials and the Stirling number of the second kind were investigated.

European Journal of Pure and Applied MathematicsVol. 18(2)
Mindanao State University (PH)
Openalex Percentile: Top 93%
Advanced Mathematical Theories and Applications
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