On the Fekete-Szegö problem for classes of bi-univalent functions

P Zaprawa - Bulletin of the Belgian Mathematical Society-Simon …, 2014 - projecteuclid.org
In this paper we obtain the Fekete-Szegö inequalities for the classes $\mathcal {H} _\sigma
(\varphi) $, $\mathcal {ST} _\sigma (\alpha,\varphi) $ and $\mathcal {M} _\sigma …

Second Hankel determinant for certain subclasses ofbi-univalent functions

M Çağlar, E Deniz… - Turkish Journal of …, 2017 - journals.tubitak.gov.tr
Second Hankel determinant for certain subclasses ofbi-univalent functions Page 1 Turkish
Journal of Mathematics Volume 41 Number 3 Article 19 1-1-2017 Second Hankel determinant for …

Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator

HM Srivastava, SS Eker, SG Hamidi… - Bulletin of the Iranian …, 2018 - Springer
Using the Tremblay fractional derivative operator in the complex domain, we introduce and
investigate a new class of analytic and bi-univalent functions in the open unit disk. We use …

Coefficient estimates for two new subclasses of biunivalent functions with respect to symmetric points

Ş Altınkaya, S Yalçın - Journal of Function Spaces, 2015 - Wiley Online Library
Coefficient Estimates for Two New Subclasses of Biunivalent Functions with respect to
Symmetric Points Page 1 Research Article Coefficient Estimates for Two New Subclasses of …

[PDF][PDF] Bounds for the second Hankel determinant of certain bi-univalent functions

H Orhan, N Magesh, J Yamini - Turkish Journal of …, 2016 - journals.tubitak.gov.tr
Bounds for the second Hankel determinant of certain bi-univalent functions Page 1 Turkish
Journal of Mathematics Volume 40 Number 3 Article 18 1-1-2016 Bounds for the second …

Second Hankel determinant for bi-starlike and bi-convex functions of order β

E Deniz, M Çağlar, H Orhan - Applied Mathematics and Computation, 2015 - Elsevier
In the present investigation the authors obtain upper bounds for the second Hankel
determinant H 2 (2) of the classes bi-starlike and bi-convex functions of order β, represented …

Estimates of Initial Coefficients for Bi‐Univalent Functions

P Zaprawa - Abstract and applied analysis, 2014 - Wiley Online Library
We consider the Fekete‐Szegö inequalities for classes which were defined by
Murugusundaramoorthy et al.(2013). These inequalities will result in bounds of the third …

Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions

H Tang, GT Deng, SH Li - Journal of Inequalities and Applications, 2013 - Springer
In this paper, we introduce and investigate two new subclasses H σ μ (λ, φ) and M σ γ (λ, μ,
φ) of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk …

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

H Orhan, N Magesh, VK Balaji - Filomat, 2015 - JSTOR
Recently, Srivastava et al.[22] reviewed the study of coefficient problems for bi-univalent
functions. Inspired by the pioneering work of Srivastava et al.[22], there has been triggering …

Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions defined by subordination

A Zireh, EA Adegani, S Bulut - Bulletin of the Belgian Mathematical …, 2016 - projecteuclid.org
In this paper, we find coefficient estimates by a new method making use of the Faber
polynomial expansions for a comprehensive subclass of analytic bi-univalent functions …