On linear spectral transformations and the Laguerre–Hahn class. Issue 11 (2nd November 2017)

• Record Type: Journal Article
• Authors: Castillo, K.; Rebocho, M. N.
• Is Part Of: Integral transforms and special functions. Volume 28:Issue 11(2017)
• Page Start: 859
• Page End: 875
• Publication Date: 2017-11-02
• Subjects: Orthogonal polynomials -- Laguerre–Hahn class -- Riccati differential equation -- Christoffel transformation -- Geronimus transformation; 33C47 -- 42C05; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2017.1378197
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: We study the Christoffel and Geronimus transformations for Laguerre–Hahn orthogonal polynomials on the real line. It is analysed the modification on the corresponding difference-differential equations that characterize the systems of orthogonal polynomials and the consequences for the three-term recurrence relation coefficients.