A finite sequence of Hahn-type discrete orthogonal polynomials. Issue 7 (2nd July 2020)

• Record Type: Journal Article
• Authors: Masjed-Jamei, Mohammad; Koepf, Wolfram; Tcheutia, Daniel Duviol
• Is Part Of: Journal of difference equations and applications. Volume 26:Issue 7(2020)
• Page Start: 952
• Page End: 965
• Publication Date: 2020-07-02
• Subjects: Sturm–Liouville theorem for functions of a discrete variable -- discrete orthogonal polynomials of Hahn-type -- Dougall bilateral sum -- norm square values -- moments; Primary: 42C05 -- 33E30 -- 33C47 Secondary:33C45 -- 33C20; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2020.1801663
• Languages: English
• ISSNs: 1023-6198

Abstract

ABSTRACT: By considering a specific Sturm–Liouville problem, we introduce a finite sequence of Hahn-type discrete polynomials and prove that they are finitely orthogonal on the real line. We then compute their norm square value by using Dougall's bilateral sum and obtain all moments corresponding to the introduced polynomials.