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

[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.

[学科分类] 电力

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