[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2008.45.4.615

NEW CHARACTERIZATION OF THE CLASS OF STARLIKE FUNCTIONS

Yavuz, Emel (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE TC ISTANBUL KULTUR UNIVERSITY)
Polatoglu, Yasar (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE TC ISTANBUL KULTUR UNIVERSITY)
Owa, Shigeyoshi (DEPARTMENT OF MATHEMATICS KINKI UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 615-620 More about this Journal

Abstract

For analytic functions f(z) in the open unit disc $\mathbb{D}$ , an operator $N_{\alpha}(f(z))$ relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator $N_{\alpha}(f(z))$ .

Keywords

$Carath{\acute{e}}odory$ function; starlike function; operator;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

1	C. Caratheodory, Uberden Variabilit¨atsbereich der Fourier'schen Konstanten von Positiven Harmonischen Funktionen, Rend. Civc. Mat. Palermo, 32 (1911), 193-217 DOI
2	P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259, Springer-Verlag, New York, 1983
3	A. W. Goodman, Univalent Functions, Vol. I, Mariner Publishing Co., Inc., Tampa, FL, 1983