Faber polynomial coefficient estimates for a subclass of analytic bi-univalent functions defined by Sălăgean differential operator

Authors

  • Serap Bulut Kocaeli University, Civil Aviation College, Arslanbey Campus, 41285 İzmit-Kocaeli, Turkey Author

Keywords:

Bi-univalent functions, Taylor-Maclaurin series expansion, Coefficient bounds and coefficient estimates, Faber polynomials, S\u{a}l\u{a}gean differential operator

Subjects:

30C45, 30C80

Abstract

In this work, considering a subclass of analytic bi-univalent functionsdefined by Sălăgean differential operator, we determine estimatesfor the general Taylor-Maclaurin coefficients of the functions in thisclass. For this purpose, we use the Faber polynomial expansions. In certaincases, our estimates improve some of existing coefficient bounds.

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Published

2015-07-15

Issue

Vol. 67 No. 3 (2015): Vol. 67, Issue 3

Section

Articles

License

Copyright (c) 2015 Authors retain copyright to their work.

Creative Commons License

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