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10 Bessel FunctionsSpherical Bessel Functions

§10.52 Limiting Forms

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§10.52(i) z0

§10.52(ii) z

10.52.3 jn(z) =z-1sin(z-12nπ)+e|z|O(z-2),
yn(z) =-z-1cos(z-12nπ)+e|z|O(z-2),
10.52.4 hn(1)(z) i-n-1z-1eiz,
hn(2)(z) in+1z-1e-iz,
10.52.5 in(1)(z)in(2)(z)12z-1ez,
|phz|12π-δ(<12π),
10.52.6 kn(z)12πz-1e-z.