Formula:KLS:09.13:06

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formula in Bessel

Formula:KLS:09.13:07 >>

${\displaystyle{\displaystyle{\displaystyle y_{n}\!\left(x;a\right)=\frac{{\left(n+a+1\right)_{n}}}{2^{n}}{\widehat{y}}_{n}\!\left(x\right)}}}$

Proof

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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
${\displaystyle{\displaystyle{\displaystyle{\widehat{y}}_{n}}}}$ : monic Bessel polynomial : http://drmf.wmflabs.org/wiki/Definition:monicBesselPoly

Bibliography

Equation in Section 9.13 of KLS.

URL links

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