Formula:KLS:09.13:04

<< Formula:KLS:09.13:03

formula in Bessel

Formula:KLS:09.13:05 >>

${\displaystyle{\displaystyle{\displaystyle 2(n+a+1)(2n+a)y_{n+1}\!\left(x;a\right){}=(2n+a+1)\left[2a+(2n+a)(2n+a+2)x\right]y_{n}\!\left(x;a\right){}+2n(2n+a+2)y_{n-1}\!\left(x;a\right)}}}$

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.

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