Orthogonal polynomials | Special hypergeometric functions

Continuous Hahn polynomials

In mathematics, the continuous 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 Hahn polynomials Qn(x;a,b,c), and the continuous dual Hahn polynomials Sn(x;a,b,c). 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).

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Related pages

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