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Inequalities for Fixed Points of Holomorphic Functions
Author(s) -
Li Kin Y.
Publication year - 1990
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/22.5.446
Subject(s) - mathematics , holomorphic function , mathematical proof , inequality , fixed point , simple (philosophy) , pure mathematics , discrete mathematics , mathematical analysis , geometry , philosophy , epistemology
Cowen and Pommerenke obtained inequalities for fixed points of holomorphic and univalent functions in [1]. There was only one case where their inequality was not the best possible. By an entirely new method, we will establish a sharp improvement to this case and provide simple proofs to their main results in [1]