Coefficient bounds for certain classes of 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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For functions f(z) which are starlike of order α, convex of order α, and λ-spirallike of order α in the open unit disk U, some interesting sufficient conditions involving coefficient inequalities for f(z) are discussed. Several (known or new) special cases and consequences of these coefficient inequalities are also considered.
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Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf ′(z)/f(z) and zg′(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier kn...
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Some subclasses of analytic functions f(z) in the open unit disk U are introduced. In the present paper, Some interesting sufficient conditions, including coefficient inequalities related close-to-convex functions f(z) of order α with respect to a fixed starlike function g(z) and strongly starlike functions f(z) of order μ in U, are discussed. Several special cases and consequences of these coe...
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2015
ISSN: 1303-5010
DOI: 10.15672/hjms.2015449084