| Abstract: | Summary Some properties of orthogonal (and generalized orthogonal) polynomial sets in two variables are obtained, in particular a
characterization of such sets based on generating functions. Then those linear homogeneous partial differential eqnations
of the form Lw]+λw=0, having a set of polynomials as solution, are characterized; and a detailed study is made of all such
equations of second order whose polynomial solutions form an orthogonal (or generalized orthogonal) set.
Supported byN.S.F. Grant GP-5311. |
