Abstract
"In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions. Keywords: Differential subordination, Carathéodory function, starlike functions, sufficient conditions."
Reference24 articles.
1. "[1] Ahuja, O.P., Kumar, S., Ravichandran, V., Applications of first order differential subordination for functions with positive real part, Stud. Univ. Babeș-Bolyai Math., 63(2018), no. 3, 303-311.
2. [2] Ali, R.M., Ravichandran V., Seenivasagan, N., Sufficient conditions for Janowski starlikeness, Int. J. Math. Math. Sci., 2007, Art. ID 62925, 7 pp.
3. [3] Bohra, N., Kumar, S., Ravichandran, V., Some special differential subordinations, Hacet.
4. J. Math. Stat., 48(2019), no. 4, 1017-1034.
5. [4] Cho, N.E., Kumar, V., Kumar, S.S., Ravichandran, V., Radius problems for starlike functions associated with the sine function, Bull. Iranian Math. Soc., 45(2019), no. 1, 213-232.