ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2018. Vol. 24

Certain subclasses of analytic functions defined by a new general linear operator

A. R. S. Juma, M. Darus

Hypergeometric functions are of special interests among the complex analysts especially in looking at the properties and criteria of univalent. Hypergeometric functions have been around since 1900’s and have special applications according to their own needs. Recently, we had an opportunity to study on q-hypergeometric functions and quite interesting to see the behavior of the functions in the complex plane. There are many different versions by addition of parameters and choosing suitable variables in order to impose new set of q-hypergeometric functions. The aim of this paper is to study and introduce a new convolution operator of q-hypergeometric typed. Further, we consider certain subclasses of starlike functions of complex order. We derive some geometric properties like, coefficient bounds, distortion results, extreme points and the Fekete-Szego inequality for these subclasses.

About the Authors

Abdul Rahman Salman Juma, Department of Mathematics, University of Anbar, 55431 Baghdad, 55 Ramadi, Iraq, e-mail: dr_juma@hotmail.com

Maslina Darus, Prof. of School of Mathematical Sciences (Faculty of Science and Technology), Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, Malaysia, e-mail: maslina@ukm.edu.my

For citation:
Juma A. R. S., Darus M. Certain Subclasses of Analytic Functions Defined by a New General Linear Operator. The Bulletin of Irkutsk State University. Series Mathematics, 2018, vol. 24, pp. 24-36. https://doi.org/10.26516/1997-7670.2018.24.24
analytic functions, univalent functions, starlike functions, linear operator, Fekete-Szego problem

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