Formula:KLS:09.04:22

<< Formula:KLS:09.04:21

formula in Continuous Hahn

Formula:KLS:09.04:23 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{t\rightarrow\infty}\frac{W_{n}\!\left((x+t)^{2};a-\mathrm{i}t,b-\mathrm{i}t,c+\mathrm{i}t,d+\mathrm{i}t\right)}{(-2t)^{n}n!}=p_{n}\!\left(x;a,b,c,d\right)}}}$

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

${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i
${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : continuous Hahn polynomial : http://dlmf.nist.gov/18.19#P2.p1

Bibliography

Equation in Section 9.4 of KLS.

URL links

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

<< Formula:KLS:09.04:21

formula in Continuous Hahn

Formula:KLS:09.04:23 >>