Weak classical orthogonal polynomials in two variables

  title={Weak classical orthogonal polynomials in two variables},
  author={Lidia Fern{\'a}ndeza and Teresa E. P{\'e}rezb and Miguel A. Pi{\~n}arb},
  • Lidia Fernándeza, Teresa E. Pérezb, Miguel A. Piñarb
  • Published 2005
Orthogonal polynomials in two variables constitute a very old subject in approximation theory. Usually they are studied as solutions of second-order partial differential equations. In this work, we study two-variable orthogonal polynomials associated with a moment functional satisfying the two-variable analogue of the Pearson differential equation. From this approach, we derive the extension of some of the usual characterizations of the classical orthogonal polynomials in one variable. © 2004… CONTINUE READING