Coefficient estimates for Sakaguchi type functions
نویسندگان
چکیده
منابع مشابه
Certain Coefficient Estimates for Bi-univalent Sakaguchi Type Functions
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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Commons Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Global Journal of Science Frontier Research Mathematics and Decision Sciences Volume 12 Issue 14 Version 1.0 Year 2012 Type : Double Blind Peer Reviewed International...
متن کاملCoefficient Inequalities for Certain Classes of Sakaguchi Type Functions
for complex numbers s, t with s ∕= t and for α(0 ≤ α < 1). Sufficient condition involving coefficient inequalities for f(z) to in the class S(α, t) and T (α, s, t) are obtained, where f(z) ∈ T (α, s, t) if and only if zf ′(z) ∈ S(α, s, t). Our main result contain some interesting corollaries (known or new) as special cases.
متن کاملCertain Coefficient Inequalities for Sakaguchi Type Functions and Applications to Fractional Derivatives
In the present paper, sharp upper bounds of |a3 −μa2| for the functions f(z) = z + a2z + a3z + · · · belonging to a new subclass of Sakaguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractio...
متن کاملCoefficient Inequality for a Sub-class of Generalized Sakaguchi Type Functions
In this paper, we investigated the upper bounds of |a3 − μa2|, μ real, for a subclass of generalized Sakaguchi type functions of the form f(z) = z + ∑∞ n=2 anz n, in the unit disc E = {z : |z| < 1}. Results due to various authors follows as special cases. 2010 Mathematics Subject Classification. 30C50.
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ژورنال
عنوان ژورنال: SARAJEVO JOURNAL OF MATHEMATICS
سال: 2012
ISSN: 1840-0655,2233-1964
DOI: 10.5644/sjm.08.2.05