On a Symmetric Generalization of Bivariate Sturm-Liouville Problems
No Thumbnail Available
Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Singapore Pte Ltd
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm-Liouville approach. Conditions on the polynomial coefficients to have admissible partial differential equations are given. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for the monic orthogonal polynomial solutions, as well as explicit form of these monic orthogonal polynomial solutions, which are solutions of an admissible and potentially self-adjoint linear second-order partial differential equation of hypergeometric type.
Description
Area, Ivan/0000-0003-0872-5017; Güldoğan Lekesiz, Esra/0000-0001-7653-8745; Aktas, Rabia/0000-0002-7811-8610
Keywords
Bivariate orthogonal polynomials, Symmetric orthogonal polynomials, Partial differential equations
Turkish CoHE Thesis Center URL
Fields of Science
Citation
WoS Q
Q3
Scopus Q
Source
Volume
48
Issue
4
Start Page
1649
End Page
1665