Generalized Fubini Apostol-Type Polynomials and Probabilistic Applications

Author:

Gomaa Rabab S.1ORCID,Magar Alia M.1

Affiliation:

1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Abstract

The paper aims to introduce and investigate a new class of generalized Fubini-type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials. Finally, probabilistic applications and some probabilistic properties are obtained.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Reference32 articles.

1. Some formulae for products of fubini polynomials with applications;L. Kargin,2016

2. A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials;N. Kilar;Journal of the Korean Mathematical Society,2017

3. Two variable higher-order degenerate Fubini polynomials;D. S. Kim;Proc. Jangjeon Math. Soc,2018

4. On Some Numbers Related to the Bell Numbers

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