The Boundary Propertieses of Some Functionals in Class C
published by Tishreen University
in 2014
in
and research's language is
العربية
Download
Abstract in English
This paper presents a certain method to determine the range of variability ( or the set of values) of some functionals defined in the Class (i.e the class of analytic functions in the unit disk
It have been shown in this class that the range of variability of the functional is the closed disk
The estimations of modulus of function and some other estimations related were also obtaind
References used
ALEKSANDROV,I. Boundary Values of Functional on the Class of Holomorphic Functions Univalent in a Circle. Sibirsk, Mat. Z. 4 , (1963),17-31
BABALOLA. T, K. O. OPOOL, O. Iterated integral Transforms of Caratheodory Functions and their Applications to Analytic and Univalent Functions. Tamking Journal of Mathemtics Volume 37, Number 4, 355-366, Winter 2006
BADDOUR,H. About the range of variability of linear functionals in Caratheodory Classe. Damascus univ.journal- No.28 – 1998
(BADDOUR,H.The Boundary Propertieses of Some Functionals in Clas C . Tichreen University Journal, Bas Sciences Seies2012 .V 34, Nr (1
GOEL , R. A Class of Close-to-convex Functions. Czchoslovak Mathematical Journal 18 (93) (1968) , 503-508P.W.N Warsaw 1975