Majorization by starlike functions of complex order
نویسندگان
چکیده
منابع مشابه
Multivalued starlike functions of complex order
Let Sλ(1−b) (b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ C||z| < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re [
متن کاملCoefficient Estimates of Meromorphic Bi- Starlike Functions of Complex Order
In the present investigation, we define a new subclass of meromorphic bi-univalent functions class Σ′ of complex order γ ∈ C\{0}, and obtain the estimates for the coefficients |b0| and |b1|. Further we pointed out several new or known consequences of our result.
متن کاملNew Properties for Starlike and Convex Functions of Complex Order
Abstract For functions f(z) which are starlike of complex order b (b = 0) in the open unit disk U introduced by M. A. Nasr and M. K. Aouf (J. Natural Sci. Math. 25(1985), 1 12), in consideration of its properties, some sufficient conditions, necessary conditions and distortion theorems with coefficient inequalities of f(z) as the improvement of the well-known result due to H. Silverman (Proc. A...
متن کاملCoefficient Estimates for Certain New Subclasses of Starlike Functions of Complex Order (communicated by Hari Srivastava)
In the present paper, we consider the coefficient estimates for functions in certain new subclasses of starlike and convex functions of complex order γ, which are introduced by means of a generalized differential operator and non-homogeneous Cauchy-Euler type differential equation. Several corollaries and consequences of the main results are also obtained.
متن کاملCertain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class TSm α, β, γ . In particular, we obtain integral means ineq...
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: Complex Variables, Theory and Application: An International Journal
سال: 2001
ISSN: 0278-1077,1563-5066
DOI: 10.1080/17476930108815409