Acta mathematica scientia, Series B >
INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
Received date: 2015-03-02
Revised date: 2015-05-26
Online published: 2016-06-25
In the present investigation, we consider two new general subclasses β∑m(τ, λ; α) and β∑m*(τ, λ; β) of ∑m 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|am+1|and|a2m+1|. Several connections to some of the earlier known results are also pointed out.
H. M. SRIVASTAVA , S. GABOURY , F. GHANIM . INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS[J]. Acta mathematica scientia, Series B, 2016 , 36(3) : 863 -871 . DOI: 10.1016/S0252-9602(16)30045-5
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