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10 Bessel FunctionsSpherical Bessel Functions

§10.52 Limiting Forms

Contents
  1. §10.52(i) z0
  2. §10.52(ii) z

§10.52(i) z0

§10.52(ii) z

10.52.3 𝗃n(z) =z1sin(z12nπ)+e|z|O(z2),
𝗒n(z) =z1cos(z12nπ)+e|z|O(z2),
10.52.4 𝗁n(1)(z) in1z1eiz,
𝗁n(2)(z) in+1z1eiz,
10.52.5 𝗂n(1)(z)𝗂n(2)(z)12z1ez,
|phz|12πδ(<12π),
10.52.6 𝗄n(z)12πz1ez.