An analog of Pólya's theorem for multivalued analytic functions with finitely many branch points
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Publication:2401652
DOI10.1134/S0001434617050145zbMath1375.31004OpenAlexW2710463318MaRDI QIDQ2401652
Publication date: 4 September 2017
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434617050145
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Related Items (5)
Schur's criterion for formal Newton series ⋮ On an example of the Nikishin system ⋮ Necessary and sufficient conditions for extending a function to a Schur function ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions
Cites Work
- Unnamed Item
- Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials
- An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture
- Capacity of a compact set in a logarithmic potential field
- Asymptotics of Hermite-Padé approximants for two functions with branch points
- Asymptotics of generalized Jacobi polynomials
- The convergence of Padé approximants to functions with branch points
- Convergence of Shafer quadratic approximants
- An analogue of Polya's theorem for piecewise holomorphic functions
- Zero distribution of Hermite-Padé polynomials and localization of branch points of multivalued analytic functions
- Distribution of the zeros of Padé polynomials and analytic continuation
- Families of vector measures which are equilibrium measures in an external field
- Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later
- Orthogonal Polynomials and 𝑆-curves
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