Characterizations of classical orthogonal polynomials on quadratic lattices. Issue 6 (3rd June 2017)

• Record Type: Journal Article
• Authors: Njinkeu Sandjon, Marlyse; Branquinho, Amílcar; Foupouagnigni, Mama; Area, Iván
• Is Part Of: Journal of difference equations and applications. Volume 23:Issue 6(2017)
• Page Start: 983
• Page End: 1002
• Publication Date: 2017-06-03
• Subjects: Classical orthogonal polynomials -- quadratic lattices -- characterization theorems -- divided-difference operators; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2017.1307972
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract: This paper is devoted to characterizations of classical orthogonal polynomials on quadratic lattices by using a matrix approach. In this form we recover the Hahn, Geronimus, Tricomi and Bochner type characterizations of classical orthogonal polynomials on quadratic lattices. Moreover a new matrix characterization of classical ortho-gonal polynomials in quadratic lattices is presented. From the Bochner type characterization we derive the three-term recurrence relation coefficients for these polynomials.