English

On the zeros of the Macdonald functions

Classical Analysis and ODEs 2016-02-17 v1

Abstract

We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros when the index moves. Results by numerical computations are also presented.

Keywords

Cite

@article{arxiv.1302.5154,
  title  = {On the zeros of the Macdonald functions},
  author = {Yuji Hamana and Hiroyuki Matsumoto and Tomoyuki Shirai},
  journal= {arXiv preprint arXiv:1302.5154},
  year   = {2016}
}

Comments

8 pages, 1 figure, 1 table