Construction of a new family of Fubini-type polynomials and its applications

Advances in Difference Equations

article

Srivastava, H. M.¹  Srivastava, Rekha¹  Muhyi, Abdulghani⁴  Yasmin, Ghazala⁵  Islahi, Hibah⁵  Araci, Serkan⁶ 

[1] Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Department of Mathematics, Hajjah University;Department of Applied Mathematics, Aligarh Muslim University;Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University

关键词: Fubini-type polynomials;    2-variable general polynomials;    Generating function;    Apostol-type polynomials;   

DOI  :  10.1186/s13662-020-03202-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials. Motivation of this paper is to construct a new class of generalized Fubini-type polynomials of the parametric kind via operational view point. The generating functions, differential equations, and other properties for these polynomials are established within the context of the monomiality principle. Using the generating functions, various interesting identities and relations related to the generalized Fubini-type polynomials are derived. Further, we obtain certain partial derivative formulas including the generalized Fubini-type polynomials. In addition, certain members belonging to the aforementioned general class of polynomials are considered. The numerical results to calculate the zeros and approximate solutions of these polynomials are given and their graphical representation are shown.

【 授权许可】

CC BY