Sufficient criteria for \(\varepsilon \) starlike mappings in a complex Banach space

DOI10.1007/S11785-012-0243-9zbMath1275.32006OpenAlexW1982029426MaRDI QIDQ371809

Ming-Sheng Liu, Yu-Can Zhu

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-012-0243-9

zbMATH Keywords

\(\varepsilon \)-starlike mapping\(\varepsilon\)-quasi-convex mappingquasi-convex mappingstarlike mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Other generalizations of function theory of one complex variable (32A30)

Cites Work

• The radius of convexity and a sufficient condition for starlike mappings
• On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space
• Criterion for the family of rounded \(\varepsilon\) starlike mappings
• Nonlinear semigroups and evolution equations
• Radius problems for holomorphic mappings on the unit ball in Cn
• Convexity properties of holomorphic mappings in ℂⁿ
• A starlikeness criterion for holomorphic mappings in C ⁿ
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