On the Sharp Bounds for a Comprehensive Class of Analytic and Univalent Functions by Means of Chebyshev Polynomials

Document Type : Original Article

Authors

Serap Bulut ¹

Nanjundan Magesh ²

¹ Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, TURKEY.

² P. G. and Research Department of Mathematics, Govt Arts College for Men, Krishnagiri-635001, India.

10.22034/kjm.2017.43707

Abstract

In this paper, we obtain initial coefficient bounds for functions belong to
a comprehensive subclass of univalent functions by using the Chebyshev
polynomials and also we find Fekete-Szeg\"{o}\ inequalities for this class.
All results are sharp.

Keywords

Analytic functions

univalent functions

coefficient bounds

Chebyshev polynomial

Fekete-Szeg"{o} problem

Subjects

• 30 Functions of a complex variable

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