Formula:KLS:09.10:14

<< Formula:KLS:09.10:13

formula in Meixner

Formula:KLS:09.10:15 >>

${\displaystyle{\displaystyle{\displaystyle{\mathrm{e}^{t}}\,\HyperpFq{1}{1}@@{-x}{\beta}{\left(\frac{1-c}{c}\right)t}=\sum_{n=0}^{\infty}\frac{M_{n}\!\left(x;\beta,c\right)}{n!}t^{n}}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{e}}}}$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1
${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : Meixner polynomial : http://dlmf.nist.gov/18.19#T1.t1.r9

Bibliography

Equation in Section 9.10 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:09.10:13

formula in Meixner

Formula:KLS:09.10:15 >>