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OverviewThis book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. The book gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. This volume should be of interest to research mathematicians whose work involves several complex variables and one complex variable. Full Product DetailsAuthor: Sheng GongPublisher: Springer Imprint: Springer Edition: 1998 ed. Volume: 435 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.516kg ISBN: 9780792349648ISBN 10: 0792349644 Pages: 209 Publication Date: 30 April 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI Criteria for starlikeness for holomorphic mappings.- II Criteria for convexity for holomorphic mappings.- III The growth theorem for holomorphic starlike mappings.- IV The growth theorem for holomorphic convex mappings.- V The distortion theorem for the linearinvariant family.- VI The distortion theorem for holomorphic convex and starlike mappings.- VII The geometrical properties for holomorphic convex mappings on the unit ball.- References.- List of symbols.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |