On the zeros of the Macdonald functions

2013/02/21 by Yuji Hamana, Hamana, Yuji, Hiroyuki Matsumoto +3 · 1 citation
Mathematics · #32A60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Equations Stability Results #Mathematical functions and polynomials #Primary 33C10 #Secondary 30C15 #math.CA #msc:30C15 #msc:32A60 #msc:33C10

paper · pdf · doi:10.48550/arxiv.1302.5154

8 pages, 1 figure, 1 table

arxiv created 2013/02/21 · openalex publication_date 2013/02/21 · arxiv updated 2016/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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