2.1 Wilson

Wilson Continuous dual Hahn.

  
The continuous dual Hahn polynomials can be found from the Wilson polynomials defined by (1.1.1) by dividing by and letting :

where is defined by (1.3.1).

Wilson Continuous Hahn.

  
The continuous Hahn polynomials defined by (1.4.1) are obtained from the Wilson polynomials by the substitution , , , and in the definition (1.1.1) of the Wilson polynomials and the limit in the following way :

Wilson Jacobi.

  
The Jacobi polynomials given by (1.8.1) can be found from the Wilson polynomials by substituting , , and in the definition (1.1.1) of the Wilson polynomials and taking the limit . In fact we have