D. H. Kim, K. H. Kwon, "Quasi-definiteness of generalized Uvarov transforms of moment functionals", Journal of Applied Mathematics, vol. 1, Article ID 305256, 22 pages, 2001. https://doi.org/10.1155/S1110757X01000225
Quasi-definiteness of generalized Uvarov transforms of moment functionals
When is a quasi-definite moment functional with the monic orthogonal polynomial system , we consider a point masses perturbation of given by , where , and are constants with for . That is, is a generalized Uvarov transform of satisfying , where . We find necessary and sufficient conditions for to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system relative to including two examples.
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