Digital Library of Mathematical Functions
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33 Coulomb FunctionsComputation

§33.25 Approximations

Cody and Hillstrom (1970) provides rational approximations of the phase shift σ0(η)=phΓ(1+η) (see (33.2.10)) for the ranges 0η2, 2η4, and 4η. Maximum relative errors range from 1.09×10⁻²⁰ to 4.24×10⁻¹⁹.