In this article, two new sub classes of bi-univalent functions have been introduced. The classes have been defined, using Symmetric Q-Derivative Operator and the bounds for functions belonging to these classes have been obtained by using Faber Polynomial Techniques. © 2019 Author(s).

Muthunagai K

Mathematics

School of Advanced Sciences

Chennai Campus

G Saravanan

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Coefficient bounds for a new subclass of bi-univalent functions defined by q-fractional derivative operator

AIP Conference Proceedings

In this article we have introduced a class R ~ (η, q, ς), η∈ ℂ− { 0 } of bi-univalent functions defined by symmetric q-derivative operator. We have estimated the upper bounds for the initial coefficients and Fekete-Szeg ö inequality by making use of Chebyshev polynomials. © Springer Nature Switzerland AG 2019.

Trends in Mathematics Applied Mathematics and Scientific Computing

Estimation of Upper Bounds for Initial Coefficients and Fekete-Szegö Inequality for a Subclass of Analytic Bi-univalent Functions

In this article, we obtain estimates for the coefficients of bi-univalent functions belonging to the class QΣ∗∗ (α), 0 ≤ α &lt; 1 by using Faber polynomial techniques. © 2017 Pushpa Publishing House, Allahabad, India.

Journal	AIP Conference Proceedings
Publisher	Author(s)
ISSN	0094243X
Open Access	No