Open AccessA GENERALIZATION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS
Author(s) -
M. K. Aouf
Publication year - 1994
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.25.1994.4424
Subject(s) - lambda , mathematics , beta (programming language) , alpha (finance) , generalization , unit (ring theory) , combinatorics , distortion (music) , mathematical analysis , physics , statistics , computer science , amplifier , construct validity , mathematics education , optoelectronics , cmos , optics , programming language , psychometrics
There are many classes of analytic functions in the unit disc $U$. We consider about the special classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$( $-1\le A < B \le 1$, $0 < B \le 1$, $0 \le \alpha < 1$ and $0 < \beta \le 1$) of analytic functions in the unit disc $U$. And the purpose of this paper is to study the classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$. We prove some distortion theorems and some coefficient estimates for these classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$.