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Zeros of the Macdonald function of complex order. (English) Zbl 1132.33309
Summary: The z-zeros of the modified Bessel function of the third kind K ν (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.
MSC:
33C10Bessel and Airy functions, cylinder functions, 0 F 1
Software:
Algorithm 831
References:
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