Formula:KLS:01.04:08

<< Formula:KLS:01.04:07

formula in Hypergeometric functions

Formula:KLS:01.04:09 >>

${\displaystyle{\displaystyle{\displaystyle Q_{N}\!\left(x;\alpha,\beta,N\right)=\sum_{k=0}^{N}\frac{{\left(N+\alpha+\beta+1\right)_{k}}{\left(-x\right)_{k}}}{{\left(\alpha+1\right)_{k}}k!}}}}$

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

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 1.4 of KLS.

URL links

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

<< Formula:KLS:01.04:07

formula in Hypergeometric functions

Formula:KLS:01.04:09 >>