학술논문
FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS FOR KRALL-TYPE ORTHOGONAL POLYNOMIALS ON THE TRIANGLE
Document Type
research-article
Source
Proceedings of the American Mathematical Society, 2018 Sep 01. 146(9), 3961-3974.
Subject
Language
English
ISSN
00029939
10886826
10886826
Abstract
We construct bivariate polynomials orthogonal with respect to a Krall-type inner product on the triangle defined by adding Krall terms over the border and the vertexes to the classical inner product. We prove that these Krall-type orthogonal polynomials satisfy fourth order partial differential equations with polynomial coefficients, as an extension of the classical theory introduced by H. L. Krall in the 1940s.