ON A SUFFICIENT CONDITION AND AN ANGULAR ESTIMATION FOR $\Phi$-LIKE FUNCTIONS

Abstract

The object of the present paper is to investigate a sufficient condition and an angular estimation for Φ-like functions. Our result contains the previous results as special cases.

Some applications of the first-order differential subordinations

“…In the present paper, we propose to derive some applications of the first-order differential subordinations. We also extend and improve the results proven earlier by Cho and Kim [1], Miller et al [3], and Nunokawa et al [7,8,9,10].…”

Certain Results on Φ−Like and Starlike Functions in a Parabolic Region

“…In 2010, Singh et al [6] also proved certain results on φ−like functions of above nature. Cho and Kim [3] and Shanmugam et al [7] also contributed to the study of φ−like functions.…”