Simple numerical evaluation of modified Bessel functions Kν( x) of fractional order and the integral [formula omitted

Abstract

Theoretical expressions for the angular and spectral distributions of synchrotron radiation involve modified Bessel functions of fractional order and the integral ʃ x ∞K ν(η) dη . A simple series expressions for these quantities which can be evaluated numerically with hand-held programmable calculators is presented.