An inequality of homogeneous expansion for biholomorphic quasi-convex mappings on the unit polydisk and its application

DOI10.1016/S0252-9602(09)60021-7zbMath1199.32034MaRDI QIDQ846829

Xiaosong Liu, Tai Shun Liu

Publication date: 12 February 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

biholomorphic mappingquasi-convex mappinginequality of homogeneous expansion

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) Other generalizations of function theory of one complex variable (32A30)

Related Items (4)

Sharp estimates of quasi-convex mappings of type B and order \(\alpha\) ⋮ On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables ⋮ Sharp inequalities of homogeneous expansions of almost starlike mappings of order alpha ⋮ Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains

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