Collective interlacing and ranges of the positive zeros of Bessel functions

초록

As a generalization of the classical interlacing property for pairs of Bessel functions, it is shown that the positive zeros of ν-parameter families of Bessel functions Jν or Yν are simultaneously interlaced under certain conditions. Our method of proof is based on the range description of each ν-variation map of positive zeros of the same rank. © 2021 Elsevier Inc.

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