Author/Authors :
Nunokawa, Mamoru University of Gunma, JAPAN , Owa, Shigeyoshi Kinki University - Department of Mathematics, JAPAN , Polato˜glu, Yasar T.C. Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY , Ca˜glar, Mert TC Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY , Duman, Emel Yavuz T.C. Istanbul Kultur University - Department of Mathematics and Computer Science, Turkey
Abstract :
There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.