Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion
Copyright policy )Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion
In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this comprehensive subclass. Moreover, we obtain estimates for the general coefficients |bn|(n≧1) for functions in the subclass ΣB(λ,μ,β) by making use of the Faber polynomial expansion method. The results presented in this paper would generalize and improve several recent works on the subject.
- Azerbaijan University Azerbaijan
- China Medical University Taiwan
- University of Victoria Canada
- UniNettuno University Italy
- Islamic Azad University of Gorgan Iran (Islamic Republic of)
analytic functions, meromorphic bi-Bazilevič functions of order β and type μ, meromorphic bi-univalent functions, Faber polynomial expansion, QA1-939, coefficient estimates, univalent and bi-univalent functions, meromorphic bi-Bazilevič functions of order <i>β</i> and type <i>μ</i>, meromorphic bi-starlike functions of order β, Mathematics
analytic functions, meromorphic bi-Bazilevič functions of order β and type μ, meromorphic bi-univalent functions, Faber polynomial expansion, QA1-939, coefficient estimates, univalent and bi-univalent functions, meromorphic bi-Bazilevič functions of order <i>β</i> and type <i>μ</i>, meromorphic bi-starlike functions of order β, Mathematics
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