<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the functions in the class 𝒮<sub>q</sub>(A, B, α).</p>
</abstract>

The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the functions in the class 𝒮q(A, B, α).

A note on convolution of Janowski type functions with q-derivative

College of Sciences, Yanbu, Taibah University

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A note on convolution of Janowski type functions with q-derivative"}

The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with...

A note on convolution of Janowski type functions with q-derivative

Published Online: Nov 15, 2023

Page range: 1 - 11

Received: Jul 22, 2020

DOI: https://doi.org/10.2478/ausm-2023-0001

Keywords
Janowski functions, subordination, starlike functions, convex functions, q-derivative, convolution or Hadamard product

© 2023 F. Alsarari, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A note on convolution of Janowski type functions with q-derivative

Published Online: Nov 15, 2023

Page range: 1 - 11

Received: Jul 22, 2020

DOI: https://doi.org/10.2478/ausm-2023-0001

KeywordsJanowski functions, subordination, starlike functions, convex functions, q-derivative, convolution or Hadamard product

© 2023 F. Alsarari, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Janowski functions, subordination, starlike functions, convex functions, q-derivative, convolution or Hadamard product