<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the concept of fractional q-calculus and generalized Al-Oboudi differential operator defining certain classes of analytic functions in the open disc are used. The results investigated for these classes of functions include the coefficient estimates, inclusion relations, extreme points and some more properties.</p></abstract>

In this paper, the concept of fractional q-calculus and generalized Al-Oboudi differential operator defining certain classes of analytic functions in the open disc are used. The results investigated for these classes of functions include the coefficient estimates, inclusion relations, extreme points and some more properties.

Certain classes of analytic functions defined by fractional q-calculus operator

PG Department of Mathematics, JSS College of Arts, Commerce and Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Certain classes of analytic functions defined by fractional q-calculus operator"}

In this paper, the concept of fractional q-calculus and generalized Al-Oboudi differential operator defining certain classes of analytic functions in the open...

Certain classes of analytic functions defined by fractional q-calculus operator

Published Online: Sep 10, 2018

Page range: 178 - 188

Received: May 09, 2017

DOI: https://doi.org/10.2478/ausm-2018-0015

Keywords
univalent functions, fractional q-calculus operator

© 2018 N. Ravikumar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Certain classes of analytic functions defined by fractional q-calculus operator

Published Online: Sep 10, 2018

Page range: 178 - 188

Received: May 09, 2017

DOI: https://doi.org/10.2478/ausm-2018-0015

Keywordsunivalent functions, fractional q-calculus operator

© 2018 N. Ravikumar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
univalent functions, fractional q-calculus operator