TY - JOUR ID - Hamana2019 LB - Hamana2019 AU - Hamana, Yuji AU - Matsumoto, Hiroyuki AU - Shirai, Tomoyuki TI - On the zeros of the Macdonald functions ST - On the zeros of the Macdonald functions JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2019 VL - 39 IS - 3 SP - 361 EP - 382 DO - https://doi.org/10.7494/OpMath.2019.39.3.361 UR - https://doi.org/10.7494/OpMath.2019.39.3.361 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. KW - zeros KW - Macdonald functions KW - Bessel functions SN - 1232-9274 ER -