Analytic continuation methods for multivalued functions of one variable and their application to the solution of algebraic equations

DOI10.1134/S008154382002011XzbMath1440.30001OpenAlexW3031519212MaRDI QIDQ2185793

Lev S. Maergoiz

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154382002011x

zbMATH Keywords

Riemann surfaceanalytic continuationPuiseux seriesmultivalued functions

Mathematics Subject Classification ID

Riemann surfaces (30F99) Analytic continuation of functions of one complex variable (30B40)

Related Items (1)

The multivalent indicator and conjugate diagrams of an entire function of order \(\rho \neq 1\). Application to the solution of algebraic equations

Cites Work

• The structure of the indicator of an entire function of finite order and normal type
• Many-sheeted versions of the Pólya-Bernstein and Borel theorems for entire functions of order \(\rho\neq1\) and their applications
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