Open AccessA SPECIAL CLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
Author(s) -
M. K. Aouf
Publication year - 1996
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.27.1996.4249
Subject(s) - mathematics , class (philosophy) , univalent function , beta (programming language) , unit (ring theory) , alpha (finance) , combinatorics , pure mathematics , arithmetic , analytic function , computer science , statistics , mathematics education , artificial intelligence , programming language , psychometrics , construct validity
There are many special classes of univalent functions in the unit disc $U$. In this paper, we consider the special class $P^*(A,B,\alpha,\beta)$, $-1\le B<A \le 1$, $-1 \le B < 0$, $0 \le\alpha < 1$ and $0 < \beta\le 1$, of univalent functions mthe umt disc $U$. And it is the purpose of this paper to show some properties of this class.