On certain class of analytic functions based on poisson distribution

In this paper, a power series whose coefficients are the probabilities of the Poisson distribution is considered. A new subclass of univalent holomorphic functions related to Poisson distribution and convolution is introduced. Some properties such as coefficient estimates, distortion bounds, radii o...

Full description

Bibliographic Details
Main Author: Najafzadeh, Shahram
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2020
Online Access:http://journalarticle.ukm.my/15095/
http://journalarticle.ukm.my/15095/1/jqma-16-1-paper9.pdf
_version_ 1848813714721996800
author Najafzadeh, Shahram
author_facet Najafzadeh, Shahram
author_sort Najafzadeh, Shahram
building UKM Institutional Repository
collection Online Access
description In this paper, a power series whose coefficients are the probabilities of the Poisson distribution is considered. A new subclass of univalent holomorphic functions related to Poisson distribution and convolution is introduced. Some properties such as coefficient estimates, distortion bounds, radii of starlikeness, convexity and close-to-convexity are obtained. The neighbourhood property for functions in this new subclass is also given.
first_indexed 2025-11-15T00:22:35Z
format Article
id oai:generic.eprints.org:15095
institution Universiti Kebangasaan Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T00:22:35Z
publishDate 2020
publisher Penerbit Universiti Kebangsaan Malaysia
recordtype eprints
repository_type Digital Repository
spelling oai:generic.eprints.org:150952020-08-25T00:54:11Z http://journalarticle.ukm.my/15095/ On certain class of analytic functions based on poisson distribution Najafzadeh, Shahram In this paper, a power series whose coefficients are the probabilities of the Poisson distribution is considered. A new subclass of univalent holomorphic functions related to Poisson distribution and convolution is introduced. Some properties such as coefficient estimates, distortion bounds, radii of starlikeness, convexity and close-to-convexity are obtained. The neighbourhood property for functions in this new subclass is also given. Penerbit Universiti Kebangsaan Malaysia 2020 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/15095/1/jqma-16-1-paper9.pdf Najafzadeh, Shahram (2020) On certain class of analytic functions based on poisson distribution. Journal of Quality Measurement and Analysis, 16 (1). pp. 91-98. ISSN 1823-5670 http://www.ukm.my/jqma/current.html
spellingShingle Najafzadeh, Shahram
On certain class of analytic functions based on poisson distribution
title On certain class of analytic functions based on poisson distribution
title_full On certain class of analytic functions based on poisson distribution
title_fullStr On certain class of analytic functions based on poisson distribution
title_full_unstemmed On certain class of analytic functions based on poisson distribution
title_short On certain class of analytic functions based on poisson distribution
title_sort on certain class of analytic functions based on poisson distribution
url http://journalarticle.ukm.my/15095/
http://journalarticle.ukm.my/15095/
http://journalarticle.ukm.my/15095/1/jqma-16-1-paper9.pdf