Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Magesh G

Department of Software and Systems Engineering

School of Information Technology and Engineering

H m srivastava

Fulltext

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

Global Journal of Mathematical Analysis

In this paper, we introduce a new subclass BΣζ(m,γ,λ;φ) of bi-univalent functions defined by a new differential operator of analytic functions involving binomial series due to Frasin (Bol Soc Paran Mat (in press), 2019) in the open unit disk. We obtain coefficient bounds for the Taylor–Maclaurin coefficients | a 2 | and | a 3 | of the function f∈BΣζ(m,γ,λ;φ). Furthermore, we solve the Fekete–Szegö functional problem for functions in BΣζ(m,γ,λ;φ). The results presented in this paper improve or generalize the earlier results of Peng and Han (Acta Math Sci 34(1):228–240, 2014) and Tang et al. (J Math Inequal 10(4):1063–1092, 2016). © 2019, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

Afrika Matematika

Fekete–Szegö functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator

In this paper, we introduce and investigate two new subclasses of the function class of bi-univalent functions defined in the open unit disk, which are associated with fractional q-calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ja2j and ja3j for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.

Fundamenta Informaticae

Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q-calculus Operators

In the present paper, two new subclasses of bi-starlike and bi-convex function of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained. Several new (or known) consequences of the results are also pointed out. © 2015 Miskolc University Press.

Bi-starlike function of complex order associated with double Zeta functions

We introduce and investigate a new subclass of the function class Σ of biunivalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in this new subclass. Several, known or new, consequences of the results are also pointed out.

Journal of Complex Analysis

Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator

AbstractIn this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Applied Mathematics and Computation

A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems

Applied Mathematics Letters

Coefficient estimates for a certain subclass of analytic and bi-univalent functions

New subclasses of bi-univalent functions

Certain subclasses of analytic and bi-univalent functions

Integral Transforms and Special Functions

Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function

Certain subclasses of bi-univalent functions associated with the Hohlov operator

Journal	Global Journal of Mathematical Analysis
Publisher	Science Publishing Corporation
Open Access	Yes