The extended jacobi polynomials in two variables: A generalization

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Published: Apr 1, 2025
DOI: https://doi.org/10.29070/jgbpvj25
Keywords:
Polynomials, Jacobi polynomials, two-variable, generalizations, Jacobi matrix polynomial

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Authors

Asha Pandey

Research Scholar, Govt. Model Science College, APS University, Rewa, M.P.

Dr. Neelam Pandey

Professor of Mathematics, Govt. Model Science College, Rewa, APS University, Rewa, M.P.

Abstract

This work presents an extension of the Jacobi polynomials to two variables and generates a number of generating functions.  In addition, certain applications of Jacobi polynomials are examined, along with Bateman's and Brafman's generating functions, Rodrigues formula, and the relationship between Legendre and Jacobi polynomials.  The main objective of this study is to construct and describe certain properties of an analogue of extended Jacobi polynomials that operates on two variables. The authors provide recurrence relations that use extended ϱJacobi polynomials in two variables, along with a variety of differential equations for these polynomials.

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Article Details

Issue

Vol. 22 No. 2 (2025): Journal of Advances in Science and Technology (JAST)

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