Formula:KLS:09.10:01

<< Pseudo Jacobi

formula in Meixner

Formula:KLS:09.10:02 >>

${\displaystyle{\displaystyle{\displaystyle M_{n}\!\left(x;\beta,c\right)=\HyperpFq{2}{1}@@{-n,-x}{\beta}{1-\frac{1}{c}}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : Meixner polynomial : http://dlmf.nist.gov/18.19#T1.t1.r9
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.10 of KLS.

URL links

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<< Pseudo Jacobi

formula in Meixner

Formula:KLS:09.10:02 >>