Mamoru NUNOKAWA, Shigeyoshi OWA, Yaşar POLATOĞLU, Emel Yavuz DUMAN, Mert ÇAĞLAR

Some sufficient conditions for starlikeness and convexity

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.

Anahtar Kelimeler:

Univalent, starlike, convex.

Some sufficient conditions for starlikeness and convexity

Keywords:

Univalent, starlike, convex.,

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Ozaki, S., Ono, I. and Umezawa, T.: On a general second order derivative, Sci. Rep. Tokyo Kyoiku Daigaku, Sec.A , 111–114, (1956). Mamoru NUNOKAWA Emeritus Professor
University of Gunma, Hoshikuki 798-8 Chuo, Chiba 260-0808, JAPAN Shigeyoshi OWA
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JAPAN e-mail: owa@math.kindai.ac.jp Ya¸sar POLATO ˘GLU
Department of Mathematics and Computer Science, T.C. ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: y.polatoglu@iku.edu.tr Mert C¸ A ˘GLAR Department of Mathematics and Computer Science, TC ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: m.caglar@iku.edu.tr Emel YAVUZ DUMAN Department of Mathematics and Computer Science, T.C. ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: e.yavuz@iku.edu.tr