Krall-type orthogonal polynomials in several variables

Authors:
Lidia Fernández;Teresa E. Pérez;Miguel A. Piñar;Yuan Xu
Affiliations:
Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain;Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain;Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain;Department of Mathematics, University of Oregon, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 1
Cited 2

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Abstract

For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional defined in the linear space of polynomials in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials.