Abstract
The aim of this paper is the study of some transformations in the Laguerre-Hahn affine class that do not preserve the class. Under very general conditions, we establish that the second kind functional associated with a Laguerre-Hahn affine functional does not belong to the Laguerre-Hahn affine class. The transformations related to the associated polynomials and quadratic decomposition of a sequence of orthogonal polynomials are also considered.
Citation
A. Cachafeiro. F. Marcellán. C. Pérez. "Second kind functionals for the Laguerre-Hahn affine class on the unit circle." Bull. Belg. Math. Soc. Simon Stevin 10 (1) 125 - 140, January 2003. https://doi.org/10.36045/bbms/1047309419
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