ON THE PROPERTIES OF A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

Wenjuan Li; Qinghua Xu

doi:10.11948/2015045

2015 Volume 5 Issue 4

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Wenjuan Li, Qinghua Xu. ON THE PROPERTIES OF A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 581-588. doi: 10.11948/2015045

Citation:

Wenjuan Li, Qinghua Xu. ON THE PROPERTIES OF A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 581-588. doi: 10.11948/2015045

ON THE PROPERTIES OF A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

College of Mathematics and Information Science, JiangXi Normal University, NanChang 330022, P. R. China

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Abstract

Abstract

In the present paper, we introduce an interesting subclass K_s^p(h) of analytic functions in the open unit disk U. For functions belonging to the class K_s^p(h), basic properties such as the coefficient bounds, the distortion and growth theorems are derived. The results presented here would provide extensions of those given by Q.-H. Xu et al.[2].
- Starlike functions /
- coefficient bounds /
- distortion and growth theorems /
- subordination principle
MSC: Primary30C45;Secondary34-99

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References

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