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

<p>The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the open unit disk 𝔻. Further, we consider the properties of integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.</p>
</abstract>

The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the open unit disk 𝔻. Further, we consider the properties of integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Department of Mathematics, School of Advanced Sciences

Vellore Institute of Technology (Deemed to be university)

Moroccan Journal of Pure and Applied Analysis

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

The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in...

Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Published Online: Jan 29, 2021

Page range: 312 - 323

Received: Nov 16, 2020

Accepted: Jan 19, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0020

Keywords
Univalent, Spiral-like functions, Starlike functions, Convex functions, Alexander integral operator, Hadamard product, Pascal distribution series

© 2021 Gangadharan Murugusundaramoorthy, published by Sciendo

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

Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Published Online: Jan 29, 2021

Page range: 312 - 323

Received: Nov 16, 2020

Accepted: Jan 19, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0020

KeywordsUnivalent, Spiral-like functions, Starlike functions, Convex functions, Alexander integral operator, Hadamard product, Pascal distribution series

© 2021 Gangadharan Murugusundaramoorthy, published by Sciendo

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

Keywords
Univalent, Spiral-like functions, Starlike functions, Convex functions, Alexander integral operator, Hadamard product, Pascal distribution series