Zeros of the Macdonald function of complex order
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摘要
The z-zeros of the modified Bessel function of the third kind Kν(z), also known as modified Hankel function or Macdonald function, are considered for arbitrary complex values of the order ν. Approximate expressions for the zeros, applicable in the cases of very small or very large |ν|, are given. The behaviour of the zeros for varying |ν| or argν, obtained numerically, is illustrated by means of some graphics.
论文关键词：33C10,Macdonald function,Modified Bessel function of the third kind,Hankel function,Zeros
论文评审过程：Received 18 July 2006, Revised 6 November 2006, Available online 21 December 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.11.014
