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An analog of Pólya’s theorem for multivalued analytic functions with finitely many branch points

  • Volume 101, Number 5, May, 2017
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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    S. P. Suetin

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  1. S. P. Suetin
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Correspondence to S. P. Suetin.

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Original Russian Text © S. P. Suetin, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 5, pp. 779–791.

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Suetin, S.P. An analog of Pólya’s theorem for multivalued analytic functions with finitely many branch points. Math Notes 101, 888–898 (2017). https://doi.org/10.1134/S0001434617050145

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  • DOI: https://doi.org/10.1134/S0001434617050145

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