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


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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.

About the authors

S. P. Suetin

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: suetin@mi.ras.ru
Russian Federation, Moscow

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