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Krall--type Orthogonal Polynomials in several variables
Lidia Fernandez, Teresa E. Perez, Miguel A. Pinar +1
For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional in several variables, explicit formulas of orthogonal polynomials are derived from the…
A generating function for non-standard orthogonal polynomials involving differences: the Meixner case
Juan J. Moreno-Balcazar, Teresa E. Perez, Miguel A. Pinar
In this paper we deal with a family of non--standard polynomials orthogonal with respect to an inner product involving differences. This type of inner product is the so--called …
A matrix Rodrigues formula for classical orthogonal polynomials in two variables
A. Alvarez de Morales, L. Fernández, T. E. Pérez +1
Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronec…