An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains

In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series [Formula: see text] to be in the classes k- [Formula: see text] and k- [Formula: see text] of k-uniformly Janowski starlike and k-Janowski convex functions, resp...

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Autores principales: Ahmad, Morad, Frasin, Basem, Murugusundaramoorthy, Gangadharan, Al-khazaleh, Ahmad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8502901/
https://www.ncbi.nlm.nih.gov/pubmed/34660926
http://dx.doi.org/10.1016/j.heliyon.2021.e08109
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author Ahmad, Morad
Frasin, Basem
Murugusundaramoorthy, Gangadharan
Al-khazaleh, Ahmad
author_facet Ahmad, Morad
Frasin, Basem
Murugusundaramoorthy, Gangadharan
Al-khazaleh, Ahmad
author_sort Ahmad, Morad
collection PubMed
description In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series [Formula: see text] to be in the classes k- [Formula: see text] and k- [Formula: see text] of k-uniformly Janowski starlike and k-Janowski convex functions, respectively. Further, we obtain a condition for an integral operator [Formula: see text] to be in the class k- [Formula: see text]. Several corollaries and consequences of the main results are also considered.
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spelling pubmed-85029012021-10-15 An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains Ahmad, Morad Frasin, Basem Murugusundaramoorthy, Gangadharan Al-khazaleh, Ahmad Heliyon Research Article In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution series [Formula: see text] to be in the classes k- [Formula: see text] and k- [Formula: see text] of k-uniformly Janowski starlike and k-Janowski convex functions, respectively. Further, we obtain a condition for an integral operator [Formula: see text] to be in the class k- [Formula: see text]. Several corollaries and consequences of the main results are also considered. Elsevier 2021-10-01 /pmc/articles/PMC8502901/ /pubmed/34660926 http://dx.doi.org/10.1016/j.heliyon.2021.e08109 Text en © 2021 Published by Elsevier Ltd. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Ahmad, Morad
Frasin, Basem
Murugusundaramoorthy, Gangadharan
Al-khazaleh, Ahmad
An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title_full An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title_fullStr An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title_full_unstemmed An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title_short An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains
title_sort application of mittag–leffler-type poisson distribution on certain subclasses of analytic functions associated with conic domains
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8502901/
https://www.ncbi.nlm.nih.gov/pubmed/34660926
http://dx.doi.org/10.1016/j.heliyon.2021.e08109
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