Certain subclasses of Spiral-like univalent functions related with Pascal distribution series-Reference-Cited by-同舟云学术

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

Published:2021-01-29 Issue:2 Volume:7 Page:312-323
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Murugusundaramoorthy Gangadharan¹

Affiliation:

1. Department of Mathematics, School of Advanced Sciences , Vellore Institute of Technology (Deemed to be university) , Vellore - , TN, India .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2021-0020

Reference29 articles.

1. [1] T.Bulboaca and G. Murugusundaramoorthy, Univalent functions with positive coefficients involving Pascal distribution series, Commun. Korean Math. Soc. 35 (2020), No. 3, 867877.

2. [2] N. E. Cho, S. Y. Woo and S. Owa, Uniform convexity properties for hypergeometric functions, Fract. Cal. Appl. Anal., 5(2002), No. 3, 303–313.

3. [3] P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften Series, 259, Springer Verlag, New York, 1983.

4. [4] R. M. El-Ashwah, W. Y. Kota, Some condition on a Poisson distribution series to be in subclasses of univalent functions, Acta Universitatis Apulensis, No. 51(2017),89-103.

5. [5] S. M. El-Deeb, T. Bulboacă and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59(2019), 301–314.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inclusion relations for some classes of analytic functions involving Pascal distribution series;Journal of Inequalities and Applications;2022-12-27

2. Some Inclusion Relations of Certain Subclasses of Strongly Starlike, Convex and Close-to-Convex Functions Associated with a Pascal Operator;Symmetry;2022-05-24

3. Certain subclasses of spirallike univalent functions related with generalized distribution series;Afrika Matematika;2022-01-24

4. Certain subclasses of spirallike univalent functions related to Poisson distribution series;TURKISH JOURNAL OF MATHEMATICS;2021-05-20