Journal Article10.2307/2371289
Orthogonal Polynomials Defined by Difference Equations
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About: This article is published in American Journal of Mathematics. The article was published on 01 Jan 1941. The article focuses on the topics: Orthogonal polynomials & Classical orthogonal polynomials.
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Citations
Characterization Theorems for Orthogonal Polynomials
W. A. Al-Salam
- 01 Jan 1990
TL;DR: In this paper, characterization theorems dealing with polynomial sets which are orthogonal on the real line are surveyed, and a survey of the results is given for the special case of orthogonality on real line.
201
Full length article: Exceptional Meixner and Laguerre orthogonal polynomials
TL;DR: Using Casorati determinants of Meixner polynomials (m"n^a^,^c^;^F, n@?@s"F, which are eigenfunctions of a second order difference operator, where s is a certain infinite set of nonnegative integers, F is a set of positive integers, and n is a nonnegative integer.
87
Orthogonal Polynomials Satisfying Higher-Order Difference Equations
TL;DR: In this article, a large class of measures with orthogonal polynomials satisfying higher-order difference equations with coefficients independent of the degree of the polynomial was introduced.
50
Exceptional Hahn and Jacobi orthogonal polynomials
TL;DR: In this paper, the Casorati determinant of Hahn polynomials is transformed into a Wronskian type determinant, which is then used to construct exceptional Jacobi polynomorphisms.
49
•Posted Content
Exceptional Meixner and Laguerre orthogonal polynomials
TL;DR: Using Casorati determinants of Meixner polynomials (m_n^{a,c;\F})_n, this paper showed that these determinants can be transformed into Wronskian type determinants.