For the Wilson class OP’s with : if the
-orthogonality set is , then the role of the
differentiation operator in the Jacobi, Laguerre, and Hermite
cases is played by the operator followed by division by
, or by the operator followed by division by
. Alternatively if the -orthogonality interval is
, then the role of is played by the operator
followed by division by .
Table 18.25.1 lists the transformations of variable, orthogonality
ranges, and parameter constraints
that are needed in §18.2(i) for the Wilson polynomials
, continuous dual Hahn polynomials
, Racah polynomials
, and dual Hahn polynomials
.