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Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 3

Some sufficient conditions for starlikeness and convexity

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

Pages
333–337
DOI
—

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.

Özet

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.

Keywords: Univalent, starlike, convex.

Some sufficient conditions for starlikeness and convexity — AJIndex