Generalizations of coefficient estimates for certain classes of analytic functions
نویسندگان
چکیده
منابع مشابه
On Sandwich theorems for certain classes of analytic functions
The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.
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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.
متن کاملCoefficient 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.
متن کاملon sandwich theorems for certain classes of analytic functions
the purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. relevant connections of the results, which are presented in the paper, with various known results are also considered.
متن کاملCoefficient estimates for a subclass of analytic and bi-univalent functions
In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1997
ISSN: 0386-2194
DOI: 10.3792/pjaa.73.116