Formula:KLS:09.13:11

<< Formula:KLS:09.13:10

formula in Bessel

Formula:KLS:09.13:12 >>

${\displaystyle{\displaystyle{\displaystyle y_{n}\!\left(x;a\right)=2^{-n}x^{-a}{\mathrm{e}^{\frac{2}{x}}}D^{n}\left(x^{2n+a}{\mathrm{e}^{-\frac{2}{x}}}\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle y_{n}}}}$ : Bessel polynomial : http://dlmf.nist.gov/18.34#E1
${\displaystyle{\displaystyle{\displaystyle\mathrm{e}}}}$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11

Bibliography

Equation in Section 9.13 of KLS.

URL links

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