Quasi-definiteness of generalized Uvarov transforms of moment functionals

When σ is a quasi-definite moment functional with the monic orthogonal polynomial system {P n (x)}n=0∞, we consider a point masses perturbation τ of σ given by τ:=σ+λΣl=1 mΣk=0 ml((−1)kulk/k!)δ (k)(x − c l), where λ,ulk, and cl are constants with ci≠cj for i≠j. That is, τ is a generalized Uvarov tr...

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Bibliographic Details
Main Authors: D. H. Kim, K. H. Kwon
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X01000225
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