Holomorphic mappings of the unit disc into itself with two fixed points
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Publication:5349057
DOI10.1070/SM8802zbMath1397.30017MaRDI QIDQ5349057
Publication date: 23 August 2017
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: http://iopscience.iop.org/article/10.1070/SM8802
General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Function theory on the disc (30J99)
Related Items (16)
Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points ⋮ Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points ⋮ Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points ⋮ Estimate for the domain of univalence in the class of holomorphic self-maps of a disk with two boundary fixed points ⋮ Value Regions in Classes of Conformal Mappings ⋮ Infinitesimal generators of semigroups with prescribed boundary fixed points ⋮ Holomorphic mappings of a strip into itself with bounded distortion at infinity ⋮ Value regions of univalent self-maps with two boundary fixed points ⋮ Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points ⋮ Inequality of Schwarz type for holomorphic self-maps of a disk with fixed points ⋮ Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter ⋮ Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points ⋮ Some remarks on rotation theorems for complex polynomials ⋮ Two-sided estimate of univalence domains for holomorphic mappings of the unit disk into itself keeping its diameter ⋮ Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points ⋮ Generalization of the Landau and Becker-Pommerenke inequalities
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