Formula:KLS:09.05:35

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Q n ⁡ ( N - x ; α , β , N ) Q n ⁡ ( N ; α , β , N ) = Q n ⁡ ( x ; β , α , N ) Hahn-polynomial-Q 𝑛 𝑁 𝑥 𝛼 𝛽 𝑁 Hahn-polynomial-Q 𝑛 𝑁 𝛼 𝛽 𝑁 Hahn-polynomial-Q 𝑛 𝑥 𝛽 𝛼 𝑁 {\displaystyle{\displaystyle{\displaystyle\frac{Q_{n}\!\left(N-x;\alpha,\beta,% N\right)}{Q_{n}\!\left(N;\alpha,\beta,N\right)}=Q_{n}\!\left(x;\beta,\alpha,N% \right)}}}

Proof

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Symbols List

Q n subscript 𝑄 𝑛 {\displaystyle{\displaystyle{\displaystyle Q_{n}}}}  : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3

Bibliography

Equation in Section 9.5 of KLS.

URL links

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