Initial coefficient bounds for a general class of bi-univalent functions

By Halit Orhan, Nanjundan Magesh, V. K. Balaji. 2013

59 citations recorded by the source corpus.

Inspired by the recent works of Srivastava et al. (HMS-AKM-PG), Frasin and Aouf (BAF-MKA) and others (Ali-Ravi-Ma-Mina-class,Caglar-Orhan,Goyal-Goswami,Xu-HMS-AML,Xu-HMS-AMC), we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions. Also, we obtain estimates on the coefficients |a2| and |a3| for functions in this new class. Some interesting remarks, corollaries and applications of the results presented here are also discussed.

Subfields: Geometry and Topology, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/aa2f5c8c36b4280e443646736a5faa293654053a

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In Geometry and Topology

1. Hari M. Srivastava
2. Ş. Altınkaya
3. S. Yalçın
4. Nanjundan Magesh
5. Serap Bulut
6. Halit Orhan
7. Erhan Deniz
8. J. Yamini

In Polymers and Plastics

1. Hari M. Srivastava
2. Nanjundan Magesh
3. Serap Bulut
4. Halit Orhan
5. Erhan Deniz
6. Ş. Altınkaya
7. S. Yalçın

Citations in the corpus

• Faber polynomial coefficient bounds for a subclass of bi-univalent functions (2015, background): “Recently, many authors investigated bounds for various subclasses of bi-univalent functions ([5], [10], [13], [18], [19], [21], [24], [27], [28], [29]).”
• Second Hankel determinant for certain subclasses ofbi-univalent functions (2017, background): “In particular, several results on coefficient estimates for the initial coefficients |a2| , |a3| , and |a4| were proved for various subclasses of σ (see, for example, [1, 4, 5, 10, 12, 14, 16, 25, 28, 29, 32, 33]).”
• Bounds for the second Hankel determinant of certain bi-univalent functions (2015, background): “1) were found in several recent investigations (see, for example, [2, 4, 7, 10, 16, 22, 24]).”
• Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions (2017, background): “For a history and examples of functions which are (or which are not) in the class , together with various other properties of subclasses of bi-univalent functions one can refer [1,4,6,13,15,17,19,21].”