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Matematicheskie Zametki, 2017, Volume 101, Issue 5, Pages 779–791
DOI: https://doi.org/10.4213/mzm11469 (Mi mzm11469) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An Analog of Pólya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (569 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11469
Abstract: An analog of Pólya's theorem on the estimate of the transfinite diameter for a class of multivalued analytic functions with finitely many branch points and of the corresponding class of admissible compact sets located on the associated (with this function) two-sheeted Stahl–Riemann surface is obtained.
Keywords: analytic continuation, transfinite diameter, Pólya's theorem, Padé polynomial, Stahl–Riemann surface.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07531
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
This work was supported in part by the Russian Foundation for Basic Research under grant 15-01-07531 and by the program “Leading Scientific Schools” under grant NSh-9110.2016.1.
Received: 30.11.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 5, Pages 888–898
DOI: https://doi.org/10.1134/S0001434617050145
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: S. P. Suetin, “An Analog of Pólya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points”, Mat. Zametki, 101:5 (2017), 779–791; Math. Notes, 101:5 (2017), 888–898
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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