Integral Means and Arc length of Starlike Log-harmonic Mappings
نویسندگان
چکیده
منابع مشابه
The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form f z zh z g z defined on the open unit disc U. The functions are in the class of the generalized Janowski starlike log-harmonic mapping, Slh A,B, α , with the functional zh z in the class of the generalized Janowski starlike functions, S∗ A,B, α . By means ...
متن کاملHarmonic Mappings Related to Starlike Function of Complex Order Α
Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) | h(z) = z + ∞ ∑ n=2 anz , g(z) = ∞ ∑
متن کاملSubordination Results and Integral Means for K−uniforly Starlike Functions
In this paper, we introduce a generalized class of k−uniformly starlike functions and obtain the subordination results and integral means inequalities . Some interesting consequences of our results are also pointed out. 2000 Mathematics Subject Classification: 30C45, 30C80.
متن کاملOn Harmonic Uniformly Starlike Functions Defined by an Integral Operator
Using the integral operator, we define and study a generalized family of complex-valued harmonic functions that are univalent, sense-preserving and are associated with uniformly harmonic functions in the unit disk. We obtain coefficient inequalities, extreme points and distortion bounds for the functions in our class. The results obtained for the our class reduce to the corresponding results fo...
متن کاملInradius and Integral Means for Green’s Functions and Conformal Mappings
Let D be a convex planar domain of finite inradius RD . Fix the point 0 ∈ D and suppose the disk centered at 0 and radius RD is contained in D. Under these assumptions we prove that the symmetric decreasing rearrangement in θ of the Green’s function GD(0, ρe iθ), for fixed ρ, is dominated by the corresponding quantity for the strip of width 2RD . From this, sharp integral mean inequalities for ...
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: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/193184