Continuous dual Hahn polynomials

In mathematics, the continuous dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by 
 give a detailed list of their properties.
Closely related polynomials include the dual Hahn polynomials "R""n"("x";γ,δ,"N"), the continuous Hahn polynomials "p""n"("x","a","b", , ), and the Hahn polynomials. These polynomials all have "q"-analogs with an extra parameter "q", such as the q-Hahn polynomials "Q""n"("x";α,β, "N";"q"), and so on.