An Analog of P\'olya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points
Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 779-791

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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, Stahl–Riemann surface.
Mots-clés : Padé polynomial
@article{MZM_2017_101_5_a11,
     author = {S. P. Suetin},
     title = {An {Analog} of {P\'olya's} {Theorem} for {Multivalued} {Analytic} {Functions} with {Finitely} {Many} {Branch} {Points}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {779--791},
     publisher = {mathdoc},
     volume = {101},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a11/}
}
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S. P. Suetin. An Analog of P\'olya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points. Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 779-791. http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a11/