Analytic Functions of Non-bazilevič Type and Starlikeness
نویسنده
چکیده
Two classes ̄n(μ,α,λ) and ̄n(μ,α,λ) of analytic functions which are not Bazilevǐc type in the open unit disk U are introduced. The object of the present paper is to consider the starlikeness of functions belonging to the classes ̄n(μ,α,λ) and ̄n(μ,α,λ). 2000 Mathematics Subject Classification. 30C45.
منابع مشابه
The starlikeness of analytic functions of Koebe type
We investigate the new class H b (α, β) of analytic functions with Koebe type. The subordination, superordination, best dominant result for that class was obtain. And by making use of Jack's Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class H b (α, β) of n-fold symmetric analytic functions of Koebe type. Relevant...
متن کاملOn Certain Generalized Class of Non-bazilevič Functions
In this paper, a subclass N(λ, α, A, B) of analytic functions is introduced, which is a generalized class of non-Bazilevič functions. The subordination relations, inclusion relations, distortion theorems and inequality properties are discussed by applying differential subordination method.
متن کاملClose-to-convexity and Starlikeness of Certain Analytic Functions Defined by a Linear Operator (communicated by Indrajit Lahiri)
The main object of the present paper is to derive some results for multivalent analytic functions defined by a linear operators. As a special case of these results, we obtain several sufficient conditions for close-to-convexity and starlikeness of certain analytic functions.
متن کاملRadius of Strongly Starlikeness for Certain Analytic Functions
For analytic functions f (z) = z p +a p+1 z p+1 +··· in the open unit disk U and a polynomial Q(z) of degree n > 0, the function F(z) = f (z)[Q(z)] β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).
متن کاملCertain Conditions for Starlikeness of Analytic Functions of Koebe Type
For α ≥ 0, λ > 0, we consider theM α, λ b of normalized analytic α−λ convex functions defined in the open unit disc U. In this paper, we investigate the classM α, λ b, that is, Re{ zf ′ b z /fb z 1− α α 1 − λ zf ′ b z /fb z αλ 1 zf ′′ b z /f ′ b z } > 0, with fb is Koebe type, that is, fb z : z/ 1−zn . The subordination result for the aforementioned class will be given. Further, bymaking use of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001