Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Abstract
A general class of the 2-variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2-variable general-Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established. The differential equation, recurrence relations, and other properties for the 2VgAP are obtained within the context of the monomiality principle. This paper is the first attempt in the direction of introducing a new family of special polynomials, which includes many other new special polynomial families as its particular cases.
Funder
University Grants Commission
Reference22 articles.
1. Sur une classe de polynômes
2. Pure and Applied Mathematics,1984
Cited by
31 articles.
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