TL;DR
This paper establishes the precise conditions under which the zeros of cylinder functions and their derivatives of different orders interlace, enhancing understanding of their zero distributions.
Contribution
It provides necessary and sufficient conditions for the interlacing of zeros of cylinder functions and their derivatives of different orders.
Findings
Derived explicit interlacing conditions
Improved understanding of zero distributions
Applicable to mathematical physics problems
Abstract
Necessary and sufficient conditions for the interlacing of the zeros of cylinder functions and their derivatives of different orders are given.
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