Differential Inequalities and Univalent Functions
نویسندگان
چکیده
منابع مشابه
Sufficient Inequalities for Univalent Functions
In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
متن کاملDifferential Inequalities and Criteria for Starlike and Univalent Functions
The main aim of this paper is to use the method of differential subordination to obtain a number of sufficient conditions for a normalized analytic function to be univalent or starlike in the unit disc. In particular, we find a condition on β so that each normalized analytic function f satisfying the condition ∣∣∣1 + zf ′′(z) 2f ′(z) − zf ′(z) f(z) ∣∣∣ < β, z ∈ Δ implies that f is univalent or ...
متن کاملCoefficient Inequalities for Certain Classes of Analytic and Univalent Functions
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 کاملCertain Inequalities for a General Class of Analytic and Bi-univalent Functions
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analy...
متن کاملRegion of Variability for Certain Classes of Univalent Functions Satisfying Differential Inequalities
Abstract. For complex numbers α, β and M ∈ R with 0 < M ≤ |α| and |β| ≤ 1, let B(α, β,M) be the class of analytic and univalent functions f in the unit disk D with f(0) = 0, f (0) = α and f (0) = Mβ satisfying |zf (z)| ≤ M , z ∈ D. Let P(α,M) be the another class of analytic and univalent functions in D with f(0) = 0, f (0) = α satisfying Re (zf (z)) > −M , z ∈ D, where α ∈ C \ {0}, 0 < M ≤ 1/ ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lobachevskii Journal of Mathematics
سال: 2019
ISSN: 1995-0802,1818-9962
DOI: 10.1134/s1995080219090038