Formula:KLS:09.13:02

<< Formula:KLS:09.13:01

formula in Bessel

Formula:KLS:09.13:03 >>

${\displaystyle{\displaystyle{\displaystyle y_{n}\!\left(x;a\right)={\left(n+a+1\right)_{n}}\left(\frac{x}{2}\right)^{n}\,\HyperpFq{1}{1}@@{-n}{-2n-a}{\frac{2}{x}}}}}$

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

${\displaystyle{\displaystyle{\displaystyle y_{n}}}}$ : Bessel polynomial : http://dlmf.nist.gov/18.34#E1
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.13 of KLS.

URL links

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

<< Formula:KLS:09.13:01

formula in Bessel

Formula:KLS:09.13:03 >>