On certain new subclass of close-to-convex functions

Authors

  • Zhi-Gang Wang School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076 Hunan, People's Republic of China Author
  • Chun-Yi Gao School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076 Hunan, People's Republic of China Author
  • Shao-Mou Yuan School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076 Hunan, People's Republic of China Author

Keywords:

Starlike functions, close-to-convex functions, differential subordination

Subjects:

30C45

Abstract

In the present paper, the authors introduce a new subclass ${\CalK}^{(k)}_s(\alpha,\beta)$ of close-to-convex functions. Thesubordination and inclusion relationship, and some coefficientinequalities for this class are provided. The results presented herewould provide extensions of those given in earlier works.

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Published

2006-10-15

Issue

Vol. 58 No. 3–4 (2006): Vol. 58, Issue 3–4

Section

Articles

License

Copyright (c) 2006 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.