The radius of starlikeness for convex functions of complex order
نویسندگان
چکیده
We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order. As a corollary of this relation, we obtain the radius of starlikeness for the class of Janowski convex functions of complex order. 1. Introduction. Let F be the class of analytic functions in D = {z | |z| < 1}, and let S denote those functions in F that are univalent and normalized by f (0) = 0, f (0) = 1.
منابع مشابه
Higher order close-to-convex functions associated with Attiya-Srivastava operator
In this paper, we introduce a new class$T_{k}^{s,a}[A,B,alpha ,beta ]$ of analytic functions by using a newly defined convolution operator. This class contains many known classes of analytic and univalent functions as special cases. We derived some interesting results including inclusion relationships, a radius problem and sharp coefficient bound for this class.
متن کاملOn the Strongly Starlikeness of Multivalently Convex Functions of Order Α
The object of the present paper is to derive some sufficient conditions for strongly starlikeness of multivalently convex functions of order α in the open unit disc. 2000 Mathematics Subject Classification. 30C45.
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 کاملOn a Certain Class of Meromorphic Functions Associated with a Differential Operator
In this paper, we introduce and investigate a new class of meromorphic functions defined by a differential operator. For this class, we obtain coefficient inequality, distortion inequality, radius of close-to-convex, starlikeness and convexity, extreme points and integral means inequality.
متن کاملOn a Subclass of Meromorphic Multivalent Function Associated With Salagean Operator
In this paper, we have discussed the meromorphic p-valent functions that satisfy the differential subordinations z(Ip(r, λ)f(z)) (Ip(r, λ)f(z))(j) ≺ (1 + A−B a βz 1 +Bz )(p+ j), z ∈ ∆, where β is complex number and Ip(r, λ) is salagean Operator. Also we study coefficient inequalities and hadamard product (convolution) and found radius of starlikeness and convexity. We investigate some interesti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004