Faber polynomial coefficients of bi-subordinate functions
نویسندگان
چکیده
منابع مشابه
Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent. Consider ...
متن کاملFaber polynomial coefficient estimates for bi-univalent functions defined by subordinations
A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...
متن کاملfaber polynomial coefficient estimates for bi-univalent functions defined by subordinations
a function is said to be bi-univalent on the open unit disk d if both the function and its inverse are univalent in d. not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. in this paper we use the faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...
متن کاملCertain Subclasses of Bi–univalent Functions Satisfying Subordinate Conditions
In this paper, we introduce and investigate each of the following subclasses: SΣ(λ ,γ ;φ), H S Σ(α), RΣ(η ,γ ;φ) and BΣ(μ ;φ) (0 λ 1; γ ∈ C {0}; α ∈ C; 0 η < 1; μ 0) of bi-univalent functions, φ is an analytic function with positive real part in the unit disk D, satisfying φ(0) = 1, φ ′(0) > 0, and φ(D) is symmetric with respect to the real axis. We obtain coefficient bounds involving the Taylo...
متن کاملThe Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions
In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2016
ISSN: 1631-073X
DOI: 10.1016/j.crma.2016.01.013