Criteria for a certain class of the Carathéodory functions and their applications

Journal of inequalities and applications

article

Nak Eun Cho¹  H. M. Srivastava²  Ebrahim Analouei Adegani⁵  Ahmad Motamednezhad⁵ 

[1] Department of Applied Mathematics, College of Natural Sciences, Pukyong National University;Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Faculty of Mathematical Sciences, Shahrood University of Technology

关键词: Carathéodory functions;    Differential subordination;    Strongly close-to-convex functions;    Starlike functions;    Strongly starlike functions;   

DOI  :  10.1186/s13660-020-02348-2

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper, we obtain some potentially useful conditions (or criteria) for the Carathéodory functions as a certain class of analytic functions by applying Nunokawa’s lemma. We also obtain several conditions for strong starlikeness and close-to-convexity as special cases of the main results presented here.

【 授权许可】

CC BY