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.
Abstract
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.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Article |
| Authors | |
| Submission Date | June 19, 2018 |
| Acceptance Date | March 5, 2019 |
| Publication Date | April 15, 2019 |
| IZ | https://izlik.org/JA78WZ58NW |
| Published in Issue | Year 2019 Volume: 7 Issue: 1 |
Cite
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