Calculation of the Modified Bessel Functions of the Second Kind with Complex Argument
نویسنده
چکیده
In physical problems often the modified Bessel functions Kniz) with complex argument z occur, or the Hankel functions of the first kind Hn\z) which are related to Kniz) hyKniz) = iir/2)in+1Hna\iz), with i = (-l)m. Computationally rapid and fairly exact procedures are available for the evaluation of these functions for real or imaginary argument either by recurrence, [1], [2], or by polynomial approximations, [3]-[7]. With complex argument, methods of computation were published which start from the representation by integrals of the modified Bessel function, [8], [9], [10]. Hunter [10] makes use of the integral
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