TY - JOUR
T1 - On the zeros of the MacDonald functions
AU - Hamana, Yuji
AU - Matsumoto, Hiroyuki
AU - Shirai, Tomoyuki
N1 - Funding Information:
This work is partially supported by Grants-in-Aid for Scientific Research (B) No. 26287019, (C) No. 16K05208, (B) No. 18H01124 and (C) No. 18K03342 of Japan Society for the Promotion of Science (JSPS).
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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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U2 - 10.7494/OpMath.2019.39.3.361
DO - 10.7494/OpMath.2019.39.3.361
M3 - Article
AN - SCOPUS:85062361157
VL - 39
SP - 361
EP - 382
JO - Opuscula Mathematica
JF - Opuscula Mathematica
SN - 1232-9274
IS - 3
ER -