Zeros of Meromorphic function
Lande Ma, Zhaokun Ma
TL;DR
This paper introduces the root locus method to analyze the distribution of zeros in meromorphic functions, providing a new mathematical approach for understanding their zero locations.
Contribution
It is the first to apply the root locus method specifically to the study of zeros of meromorphic functions, bridging control theory and complex analysis.
Findings
Root locus method effectively visualizes zero distribution.
New insights into zero patterns of meromorphic functions.
Potential applications in complex analysis and control theory.
Abstract
We introduce and develop the root locus method in mathematics. And we study the distribution of zeros of meromorphic functions by root locus method.
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Taxonomy
TopicsMeromorphic and Entire Functions · Advanced Mathematical Theories