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10 Bessel FunctionsModified Bessel Functions

§10.30 Limiting Forms

Contents
  1. §10.30(i) z0
  2. §10.30(ii) z

§10.30(i) z0

When ν is fixed and z0,

10.30.1 Iν(z)(12z)ν/Γ(ν+1),
ν1,2,3,,
10.30.2 Kν(z) 12Γ(ν)(12z)ν,
ν>0,
10.30.3 K0(z) lnz.

For Kν(x), when ν is purely imaginary and x0+, see (10.45.2) and (10.45.7).

§10.30(ii) z

For Kν(z) see (10.25.3).