Derivatives of Univalent Functions in Convex Domains
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Jian Lin LI(1),Guang Sheng WEI
Author information+
Jian Lin LI(Research Center for Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China) (Department of Applied Mathematics, Northwestern Polytechnical University,Xi'an 710072, P. R. China) (E-mail: jllimath@nwpu.edu.cn)Guang Sheng WEI(Research Cent
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History+
Received
Revised
Published
1900-01-01
1900-01-01
2002-05-15
Issue Date
2002-05-15
Abstract
Let f(w) be an analytic and univalent function in a convex domain D. Sharp bounds on the estimates of |f(n)(w)/f'(w)| are found for all w in D and 2≤n≤8. These estimates generalize several known results.