Extreme points of classes of functions defined by subordination
نویسندگان
چکیده
منابع مشابه
On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator
In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic $p-$valent functions defined by certain modified operator. Some of our results improve and generalize previously known results.
متن کاملStarlikeness and Convexity Conditions for Classes of Functions Defined by Subordination
We consider the family P(1, b), b > 0, consisting of functions p analytic in the open unit disc U with the normalization p(0) = 1 which have the disc formulation |p − 1| < b in U. Applying the subordination properties to certain choices of p using the functions fn(z) = z + ∑∞ k=1+n akz , n = 1, 2, ..., we obtain inclusion relations, sufficient starlikeness and convexity conditions, and coeffici...
متن کاملOn Subordination Results for Certain New Classes of Analytic Functions Defined by Using Salagean Operator
In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0357757-2