Lagrange-Based Hypergeometric Bernoulli Polynomials

Author:

Albosaily Sahar,Quintana YamiletORCID,Iqbal AzharORCID,Khan Waseem A.ORCID

Abstract

Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising in mathematics, engineering, and mathematical physics are framed in terms of differential equations. In this paper, we introduce the family of the Lagrange-based hypergeometric Bernoulli polynomials via the generating function method. We state some algebraic and differential properties for this family of extensions of the Lagrange-based Bernoulli polynomials, as well as a matrix-inversion formula involving these polynomials. Moreover, a generating relation involving the Stirling numbers of the second kind was derived. In fact, future investigations in this subject could be addressed for the potential applications of these polynomials in the aforementioned disciplines.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference25 articles.

1. The lagrange polynomials in several variables

2. Higher Transcendental Functions;Erdélyi,1953

3. Special Functions for Applied Scientists;Mathai,2008

4. Orthogonal Polynomials;Szegö,1939

5. A Treatise on Generating Functions;Srivastava,1984

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