Symmetric laguerre-hahn forms of classs=1
- 1 November 1996
- journal article
- research article
- Published by Taylor & Francis in Integral Transforms and Special Functions
- Vol. 4 (4) , 301-320
- https://doi.org/10.1080/10652469608819117
Abstract
We study the Laguerre-Hahn forms, that is to say those whose formal Stieltjes function satisfies a Riccati equation. We give the definition of the class of a Laguerre-Hahn form. We carry out the complete description of the symmetric forms of class s=1. Essentially, three canonical cases appear. Some particular cases are exhibited which refer to well-known orthogonal sequences. In general, the problem of representing these forms is open.Keywords
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