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math.CA2007
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…
math.CA2007
Orthogonal polynomials and partial differential equations on the unit ball
Miguel Pinar, Yuan Xu
Orthogonal polynomials of degree with respect to the weight function on the unit ball in $\RR^d$ are known to satisfy the partial differential equation…
math.CA2007
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 …