Formula:KLS:09.01:38

<< Formula:KLS:09.01:37

formula in Wilson

Formula:KLS:09.02:01 >>

${\displaystyle{\displaystyle{\displaystyle\frac{|W_{n}\!\left(-a^{2};a,b,c,d\right)|^{2}}{h_{n}}=O(n^{4\Re{a}-1})\hbox{as $n\to\infty$.}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
${\displaystyle{\displaystyle{\displaystyle\Re{z}}}}$ : real part : http://dlmf.nist.gov/1.9#E2

Bibliography

Equation in Section 9.1 of KLS.

URL links

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<< Formula:KLS:09.01:37

formula in Wilson

Formula:KLS:09.02:01 >>