Orthogonal polynomials | Special hypergeometric functions

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 Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. Closely related polynomials include the dual Hahn polynomials Rn(x;γ,δ,N), the continuous Hahn polynomials pn(x,a,b, a, b), and the Hahn polynomials. These polynomials all have q-analogs with an extra parameter q, such as the q-Hahn polynomials Qn(x;α,β, N;q), and so on. (Wikipedia).

Continuous dual Hahn polynomials
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Related pages

Hahn polynomials | Generalized hypergeometric function | Continuous Hahn polynomials | Orthogonal polynomials | Wilson polynomials | Dual Hahn polynomials | Q-Hahn polynomials | Askey scheme