A new family of orthogonal polynomials in three variables

A new family of orthogonal polynomials in three variables

Abstract In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sparse recurrence relations are derived by using ladder relations for shifted univariate Jacobi polynomials and b...

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Bibliographic Details
Main Authors: Rabia Aktaş, Iván Area, Esra Güldoğan
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of Inequalities and Applications
Subjects:
Jacobi polynomials
Koornwinder polynomials
Generating function
Recurrence relation
Partial differential equation
Connection relation
Online Access:http://link.springer.com/article/10.1186/s13660-020-02434-5

Internet

http://link.springer.com/article/10.1186/s13660-020-02434-5

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