Formula:KLS:09.13:07

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formula in Bessel

Formula:KLS:09.13:08 >>

${\displaystyle{\displaystyle{\displaystyle x^{2}y^{\prime\prime}(x)+\left[(a+2)x+2\right]y^{\prime}(x)-n(n+a+1)y(x)=0}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle y(x)=y_{n}\!\left(x;a\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle y_{n}}}}$ : Bessel polynomial : http://dlmf.nist.gov/18.34#E1

Bibliography

Equation in Section 9.13 of KLS.

URL links

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formula in Bessel

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