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Open problems related to a Herglotz-type formula for vector-valued mappings

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Publication:1624796
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DOI10.1007/978-3-319-73126-1_8zbMath1403.32007OpenAlexW2791139707MaRDI QIDQ1624796

Jerry R. jun. Muir

Publication date: 16 November 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-73126-1_8

zbMATH Keywords

convex mappingsCarathéodory classHerglotz formula


Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Other generalizations of function theory of one complex variable (32A30)


Related Items

Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\), Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$, The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces



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