On some conditions for schlichtness of analytic functions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:363

Article

Nunokawa, Mamoru¹  Sokol, Janusz² 

[1] Univ Gunma, Chuou Ward, Hoshikuki Cho 798-8, Chiba 2600808, Japan

[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland

关键词: Convex functions;    Starlike functions;    Univalent functions;   

DOI  :  10.1016/j.cam.2019.06.009

来源: Elsevier

【 摘 要 】

The aim of this paper is to give some conditions for univalence of analytic functions in the unit disc vertical bar z vertical bar < 1. We consider starlike functions such that zf'(z)/f(z) lies in a vertical strip. In the second part we present some conditions on zf ''(z)/f'(z) for f to be univalent. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free