Open AccessON CERTAIN SUBCLASS OF UNIVALENT FUNCTIONS IN THE UNIT DISC I
Author(s) -
M. K. Aouf,
A. Shamandy,
Mansour F. Yassen
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4409
Subject(s) - convexity , mathematics , univalent function , subclass , closure (psychology) , class (philosophy) , distortion (music) , unit disk , unit (ring theory) , beta (programming language) , combinatorics , object (grammar) , analytic function , pure mathematics , alpha (finance) , mathematical analysis , statistics , physics , philosophy , cmos , artificial intelligence , amplifier , linguistics , construct validity , computer science , financial economics , antibody , biology , market economy , immunology , programming language , mathematics education , optoelectronics , economics , psychometrics
The object of the present paper is to derive several interesting proper- ties of the class $P_n(\alpha, \beta, \gamma)$ consisting of analytic and univalent functions with neg- ative coefficients. Coefficient estimates, distortion theorems and closure theorems of functions in the class $P_n(\alpha, \beta, \gamma)$ are determined. Also radii of close-to-convexity, starlikeness and convexity and integral operators are determined.