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Advisor(s)
Abstract(s)
We study the Christoffel, Geronimus, and Uvarov transformations for
Laguerre-Hahn orthogonal polynomials on the real line. It is analysed the modification of the corresponding difference-differential equations that characterize the
systems of orthogonal polynomials and the consequences for the three-term recurrence
relation coefficients.
Description
Keywords
Orthogonal polynomials Laguerre-Hahn class Riccati di erential equation Christo el transformation Geronimus transformation Uvarov transformation
Citation
K. Castillo and M.N. Rebocho, On linear spectral transformations and the Laguerre-Hahn class, Integral Transforms and Special Functions 28, no. 11 (2017) 859-875.