IJPAM: Volume 21, No. 3 (2005)
STARLIKENESS, CONVEXITY, CLOSE-TO-CONVEXITY,
AND QUASI-CONVEXITY OF CERTAIN
ANALYTIC FUNCTIONS
AND QUASI-CONVEXITY OF CERTAIN
ANALYTIC FUNCTIONS
H. Irmak
, K. Piejko
Department of Mathematical Education
Faculty of Education
Baskent University
Baglica Campus, Ankara, 06530, TURKEY
e-mail: hisimya@baskent.edu.tr
Department of Mathematics
Rzeszów University of Technology
Ul. W. Pola 2, Rzeszów, 35-959, POLAND
e-mail: piejko@prz.rzeszow.pl
, K. Piejko
Department of Mathematical Education
Faculty of Education
Baskent University
Baglica Campus, Ankara, 06530, TURKEY
e-mail: hisimya@baskent.edu.tr
Department of Mathematics
Rzeszów University of Technology
Ul. W. Pola 2, Rzeszów, 35-959, POLAND
e-mail: piejko@prz.rzeszow.pl
Abstract.The aim of the present investigation is to state a
theorem including some new conditions for starlikeness, convexity,
close-to-convexity, and quasi-convexity of certain normalized
functions which are analytic and univalent in the unit open disc
. Some consequences of our results are also given.
Received: April 25, 2005
AMS Subject Classification: 30C45, 30A10
Key Words and Phrases: normalized analytic functions, univalent functions, convex functions, starlike functions, close-to-convex functions, quasi-convex functions, inequalities, Jack's Lemma, Nunokawa's Lemma
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 3
