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.

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Janani T

Department of Database Systems

School of Computer Science and Engineering

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

Afrika Matematika

Fulltext

Global Journal of Mathematical Analysis

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

In this paper, making use of the generalized Srivastava-Attiya operator, we introduce a new subclass of spiral-like functions and discuss some subordination results for functions in this generalized function class. Furthermore, we mention some known and new results, which follow as special cases of our results. © 2012 Taylor and Francis Group, LLC.

Integral Transforms and Special Functions

Subordination results for spiral-like functions associated with the Srivastava–Attiya operator

Journal of Classical Analysis

An asymptotic expansion for the generalised quadratic Gauss sum revisited

Journal of Inequalities and Applications

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

Applied Mathematics and Computation

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

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

Journal	Data powered by TypesetAfrika Matematika
Publisher	Data powered by TypesetSpringer Science and Business Media LLC
ISSN	1012-9405
Open Access	No