On some sufficient conditions for starlikeness

Author:

Nunokawa Mamoru1,Sokół Janusz2

Affiliation:

1. University of Gunma, Chiba, Japan

2. University of Rzeszów, College of Natural Sciences, Rzeszów, Poland

Abstract

We determine the sufficient conditions for function f(z) = z + a2z2 + ... to be starlike of order 1/2, which shows also the starlikeness of f.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference16 articles.

1. S. Fukui, K. Sakaguchi, An extension of a theorem of S. Ruscheveyh, Bull. Fac. Edu. Wakayama Univ. Nat. Sci. 29 (1980), 1-3.

2. I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474.

3. S. S. Miller, P. T. Mocanu, Differential Subordinations: Theory and Applications, Pure Appl. Math., Marcel Dekker 225, New York/Basel 2000.

4. P. T. Mocanu, On a theorem of Robertson, Prepr., "Babes-Bolyai" Univ., Fac. Math., Res. Semin. 5 (1986), 77-82.

5. R. Nevanlinna, Über die konforme Abbildund Sterngebieten, Oversikt av Finska-Vetenskaps Societen Forhandlingar 63(A)6 (1921), 48-403.

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