INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

In the present investigation, we consider two new general subclasses B∑m（T, λ; α）and B^∑m （τ λ;β） of Em consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here, we derive non-sharp estimates on the initial...

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Bibliographic Details
Published in:Acta mathematica scientia 2016-05, Vol.36 (3), p.863-871
Main Authors: SRIVASTAVA, H.M., GABOURY, S., GHANIM, F.
Format: Article
Language:English
Subjects:
30C45
30C50
30C80
analytic functions
bi-univalent functions
Coefficients
Disks
Estimates
Functions (mathematics)
Joints
m-Fold symmetric bi-univalent functions
m-Fold symmetric functions
Mathematical analysis
Symmetry
函数类
单位圆盘
单叶函数
子类
对称
系数估计
非精确
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Summary:In the present investigation, we consider two new general subclasses B∑m（T, λ; α）and B^∑m （τ λ;β） of Em consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here, we derive non-sharp estimates on the initial coefficients [a-~＋ll and │a2＋1│. Several connections to some of the earlier known results are also pointed out.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30045-5