On Gould-Hopper-based Bivariate Fubini polynomials

Authors

  • Raimah Bago Department of Mathematics, College of Natural Sciences and Mathematics, Mindanao State University Main Campus, 9700 Marawi City, Philippines
  • Normalah Abdulcarim Department of Mathematics, College of Natural Sciences and Mathematics, Mindanao State University Main Campus, 9700 Marawi City, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5957

Keywords:

\keywords{Gould-Hopper polynomials, Fubini numbers and polynomials, bivariate Fubini polynomials, generating functions, derivatives, integration}

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.

Author Biography

  • Normalah Abdulcarim, Department of Mathematics, College of Natural Sciences and Mathematics, Mindanao State University Main Campus, 9700 Marawi City, Philippines

    Department of Mathematics

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Differential Equations

License

Copyright (c) 2025 Raimah Bago, Normalah Abdulcarim

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How to Cite

On Gould-Hopper-based Bivariate Fubini polynomials. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5957. https://doi.org/10.29020/nybg.ejpam.v18i2.5957