Perturbations of Laguerre–Hahn linear functionals
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摘要
In this paper we shall make some perturbations in a Laguerre–Hahn linear functional, such as the addition of a Dirac Delta or the left multiplication by a polynomial. We shall study that these transformations carried out on Laguerre–Hahn linear functionals originate new Laguerre–Hahn linear functionals. We shall also analyze the class of the resulting functional.
论文关键词：42C05,Orthogonal polynomial,Quasi-definite linear functional,Recurrence relation,Stieltjes function,Laguerre–Hahn polynomial
论文评审过程：Received 15 September 1997, Revised 29 May 1998, Available online 7 September 1999.
论文官网地址：https://doi.org/10.1016/S0377-0427(99)00025-4
