Some sufficient conditions for starlikeness and convexity

Authors : Mamoru NUNOKAWA, Mamoru Nunokawa, Shigeyoshi Owa, Yaşar Polatoğlu, Mert Çağlar, Emel Yavuz Duman

Pages : 333-337

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :There are many results for sufficient conditions of functions finsert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(1956);, P.T. Mocanu insert ignore into journalissuearticles values(1988);, and M. Nunokawa insert ignore into journalissuearticles values(1993);, some sufficient conditions for starlikeness and convexity of finsert ignore into journalissuearticles values(z); are discussed.
Keywords : Univalent, starlike, convex