On Classes of Analytic Functions Associated by a Parametric Linear Operator in a Complex Domain | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2017]

Author(s):

1. Rabha W. Ibrahim: Faculty of Computer Science and Information Technology, University of Malaya ,Malaysia

2. Adem Kilicman: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor,Malaysia

3. Zainab E. Abdulnaby: Department of Mathematics, College of Science, Al-Mustansiriyah University,Baghdad,Iraq; Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor,Malaysia

Abstract:

The present paper deals with some geometric classes of analytic functions, such as starlike, convex and bounded turning property in a complex domain. These classes are defined by a new linear operator in the normalized space of analytic functions. The linear operator is introduced by a convolution of Szego function involving parametric coefficients type Laguerre polynomial, with the normalized function. Sufficient conditions on this operator are illustrated to study the geometric properties. Our tool is based on some recent results in this direction. The main strategy for this work is to provide parametric functional inequalities in the open unit disk.

Page(s): 257-267

DOI: DOI not available

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 54, Issue: 3, Year: 2017

Keywords:

univalent function , Convex function , starlike function , convolution or Hadamard product , Riemann zeta function , Laguerre polynomial , bounded turning function , analytic functions

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