Some subclasses of close-to-convex and quasi-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

Keywords:

Close-to-convex functions, quasi-convex functions, differential subordination, Hadamard product, $2k$-symmetric conjugate points

Subjects:

30C45

Abstract

In the present paper, the author introduce two new subclasses ${\CalS}_{sc}^{(k)}(\alpha,\beta,\gamma)$ of close-to-convex functionsand ${\Cal C}_{sc}^{(k)}(\alpha,\beta,\gamma)$ of quasi-convexfunctions with respect to $2k$-symmetric conjugate points. Thecoefficient inequalities and integral representations for functionsbelonging to these classes are provided, the inclusion relationshipsand convolution conditions for these classes are also provided.

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Published

2007-04-15

Issue

Vol. 59 No. 1–2 (2007): Vol. 59, Issue 1–2

Section

Articles

License

Copyright (c) 2007 Authors retain copyright to their work.

Creative Commons License

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