An application from partial sums of \(e^ z\) to a problem in several complex variables

DOI10.1016/0377-0427(93)90301-QzbMath0802.32010OpenAlexW2064657871MaRDI QIDQ1802174

Roger W. Barnard, Kent Pearce, Richard S. Varga

Publication date: 12 December 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90301-q

zbMATH Keywords

polynomial mappingKoebe 1/4 theorem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Power series, series of functions of several complex variables (32A05) Other generalizations of function theory of one complex variable (32A30)

Cites Work

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• Asymptotics for the zeros of the partial sums of \(e^ z\). I
• A distortion theorem for biholomorphic mappings in \({\mathbb{C}}^ 2\)
• The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
• Some bounds on convex mappings in several complex variables
• Some Remarks on the Intrinsic Measures of Eisenman
• Distortion theorems for holomorphic maps between convex domains in ⁿ
• Distortion in several variables
• A Characterization of the Exponential Series
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space

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