Note on the covering theorem for complex polynomials
Alexey Solyanik
TL;DR
This paper addresses a question about the covering properties of complex polynomials, providing insights into their behavior and characteristics in the context of complex analysis.
Contribution
It offers a definitive answer to Dubinin's question on the covering theorem for complex polynomials, advancing understanding in the field.
Findings
Provides a new covering theorem for complex polynomials
Clarifies the conditions under which polynomials cover certain regions
Enhances theoretical understanding of polynomial mappings in complex analysis
Abstract
In this note we give the answer to the question posed by V. N. Dubinin concerning covering properties of complex polynomials
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Mathematical functions and polynomials