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In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties.

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• Dual Hahn polynomials
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• In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties.
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• In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties. Closely related polynomials include the Hahn polynomials, the continuous Hahn polynomials pn(x,a,b, a, b), 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.
first
• Roderick S. C.
• Roelof
• Tom H.
• René F.
• Peter A.
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• Koekoek
• Koornwinder
• Swarttouw
• Wong
• Lesky
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location
• Berlin, New York
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series
• Springer Monographs in Mathematics
title
• Hahn Class: Definitions
• Hypergeometric orthogonal polynomials and their q-analogues
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doi
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