INITIAL COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS
نویسندگان
چکیده
منابع مشابه
Coefficient Estimates for Certain Classes of Bi-Univalent Functions
In this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.
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In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions. Also, we find estimates of |a2| and |a3|. Some related consequences of the results are also pointed out. Mathematics Subject Classification: 30C45
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Sharp bounds for |a1 − μa0| are derived for certain classes Σ∗ φ and Σα φ of meromorphic functions f z defined on the punctured open unit disk for which −zf ′ z /f z and − 1 − 2α zf ′ z αz2f ′′ z / 1 − α f z − αzf ′ z α ∈ C − 0, 1 ; R α ≥ 0 , respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a...
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We introduce and investigate two new subclasses ℳ σ (α, λ) and ℳ σ (β, λ) of meromorphic bi-univalent functions defined on Δ = {z : z ∈ ℂ, 1 < |z | <∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
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Article history: Received 23 April 2013 Accepted after revision 21 May 2013 Available online 30 May 2013 Presented by the Editorial Board Applying the Faber polynomial coefficient expansions to a class of meromorphic biunivalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is...
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ژورنال
عنوان ژورنال: Asian-European Journal of Mathematics
سال: 2014
ISSN: 1793-5571,1793-7183
DOI: 10.1142/s1793557114500053