Orthogonal polynomials | Special hypergeometric functions

Dual Hahn polynomials

In mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined on a non-uniform lattice and are defined as for and the parameters are restricted to . Note that is the rising factorial, otherwise known as the Pochhammer symbol, and is the generalized hypergeometric functions Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (Wikipedia).

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Related pages

Hahn polynomials | Generalized hypergeometric function | Falling and rising factorials | Dual q-Hahn polynomials | Chebyshev polynomials | Orthogonal polynomials | Numerical stability | Racah polynomials | Askey scheme