Formula:KLS:09.09:02

<< Formula:KLS:09.09:01

formula in Pseudo Jacobi

Formula:KLS:09.09:03 >>

${\displaystyle{\displaystyle{\displaystyle P_{n}\!\left(x;\nu,N\right)=(x+\mathrm{i})^{n}\,\HyperpFq{2}{1}@@{-n,N+1-n-\mathrm{i}\nu}{2N+2-2n}{\frac{2}{1-\mathrm{i}x}}}}}$

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

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : pseudo Jacobi polynomomal : http://drmf.wmflabs.org/wiki/Definition:pseudoJacobi
${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.9 of KLS.

URL links

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

<< Formula:KLS:09.09:01

formula in Pseudo Jacobi

Formula:KLS:09.09:03 >>