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September 2017 Certain classes of bi-univalent functions with bounded boundary variation
H. Orhan, N. Magesh, V. K. Balaji
Tbilisi Math. J. 10(4): 17-27 (September 2017). DOI: 10.1515/tmj-2017-0042

Abstract

In their pioneering work dated 2010 on the subject of bi-univalent functions, Srivastava et al. actually revived the study of the coefficient problems involving bi-univalent functions in recent years. Inspired by the pioneering work of Srivastava et al., there has been triggering interest to study the coefficient problems for many different subclasses of bi-univalent functions. Motivated largely by a number of sequels to the investigation by Srivastava et al., in this paper, we consider certain classes of bi-univalent functions to obtain the estimates of their second and third Taylor-Maclaurin coefficients. Further, certain special cases are also indicated. Some interesting remarks about the results presented here are also discussed.

Citation

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H. Orhan. N. Magesh. V. K. Balaji. "Certain classes of bi-univalent functions with bounded boundary variation." Tbilisi Math. J. 10 (4) 17 - 27, September 2017. https://doi.org/10.1515/tmj-2017-0042

Information

Received: 31 January 2017; Accepted: 25 August 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 1376.30012
MathSciNet: MR3711857
Digital Object Identifier: 10.1515/tmj-2017-0042

Subjects:
Primary: 30C45
Secondary: 30C50

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 4 • September 2017
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