Coefficient Estimates for the Subclasses of Analytic Functions and Bi-Univalent Functions Associated with the Strip Domain
Received:September 29, 2016  Revised:July 20, 2017
Key Word: analytic functions   strip domain   S\v{a}l\v{a}gean operator   subordination  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11561001) and the Higher School Research Foundation of Inner Mongolia Province (Grant No.NJZY16251).
Author NameAffiliation
Shuhai LI School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China 
Huo TANG School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China 
Li-na MA School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China 
Xiaomeng NIU School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China 
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Abstract:
      The S\v{a}l\v{a}gean operator is used here to introduce a new subclass of analytic functions associated with the strip domain. We obtain the bounds of coefficients and Fekete-szeg\"{o} inequality for functions in this class and coefficient estimates of bi-univalent functions for certain subclasses of this class. The results presented here extend some of the earlier results.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.05.006
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