Close-to-Convex Functions By Means Of Bounded Boundary Rotation

Year 2019, Volume: 7 Issue: 1, 136 - 139, 15.04.2019

Yaşar Polatoğlu , Asena Çetinkaya , Oya Mert

Abstract

In the present paper, we study on the class $\mathcal{CC}_k(A,B)$ of the close-to-convex functions with bounded boundary rotation. We investigate distortion theorem, growth theorem and coefficient inequality for the class $\mathcal{CC}_k(A,B)$.

Keywords

Growth theorem, Bounded boundary rotation, Coefficient inequality, Distortion theorem, Growth theorem

References

• [1] A. W. Goodman, Univalent functions vol. I and II, Polygonal Pub. House, 1983.
• [2] I. S. Jack, Functions starlike and convex of order alpha, J. London Math. Soc. (2)(3)(1971), 469-474.
• [3] K. I. Noor, B. Malik, S. Mustafa, A Survey on Functions Bounded Boundary and Bounded Radius Rotation, Appl. Math. E-Notes. 12 (2012), 136-152.
• [4] B. Pinchuk, Functions of bounded boundary rotation, Isr. J. Math. 10 (1971), 7-19.