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...

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Main Author: Najafzadeh, Shahram
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2020
Online Access:http://journalarticle.ukm.my/15095/1/jqma-16-1-paper9.pdf
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spelling my-ukm.journal.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
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
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.
format Article
author Najafzadeh, Shahram
spellingShingle Najafzadeh, Shahram
On certain class of analytic functions based on poisson distribution
author_facet Najafzadeh, Shahram
author_sort Najafzadeh, Shahram
title On certain class of analytic functions based on poisson distribution
title_short 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_sort on certain class of analytic functions based on poisson distribution
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2020
url http://journalarticle.ukm.my/15095/1/jqma-16-1-paper9.pdf
http://journalarticle.ukm.my/15095/
http://www.ukm.my/jqma/current.html
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score 13.160551