Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our mai...

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Autores principales: Gangadharan Murugusundaramoorthy, Sibel Yalçın
Formato: article
Lenguaje:EN
Publicado: Institute of Mathematics of the Czech Academy of Science 2021
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Acceso en línea:https://doaj.org/article/c3ef48a44faf43039a5d8cc072f5365c
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spelling oai:doaj.org-article:c3ef48a44faf43039a5d8cc072f5365c2021-11-08T09:59:12ZUniformly starlike functions and uniformly convex functions related to the Pascal distribution0862-79592464-713610.21136/MB.2020.0044-20https://doaj.org/article/c3ef48a44faf43039a5d8cc072f5365c2021-12-01T00:00:00Zhttp://mb.math.cas.cz/full/146/4/mb146_4_4.pdfhttps://doaj.org/toc/0862-7959https://doaj.org/toc/2464-7136In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our main results.Gangadharan MurugusundaramoorthySibel YalçınInstitute of Mathematics of the Czech Academy of Sciencearticle uniformly starlike function uniformly convex function starlike function convex function pascal distribution convolutionMathematicsQA1-939ENMathematica Bohemica, Vol 146, Iss 4, Pp 419-428 (2021)
institution DOAJ
collection DOAJ
language EN
topic uniformly starlike function
uniformly convex function
starlike function
convex function
pascal distribution
convolution
Mathematics
QA1-939
spellingShingle uniformly starlike function
uniformly convex function
starlike function
convex function
pascal distribution
convolution
Mathematics
QA1-939
Gangadharan Murugusundaramoorthy
Sibel Yalçın
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
description In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our main results.
format article
author Gangadharan Murugusundaramoorthy
Sibel Yalçın
author_facet Gangadharan Murugusundaramoorthy
Sibel Yalçın
author_sort Gangadharan Murugusundaramoorthy
title Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
title_short Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
title_full Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
title_fullStr Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
title_full_unstemmed Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
title_sort uniformly starlike functions and uniformly convex functions related to the pascal distribution
publisher Institute of Mathematics of the Czech Academy of Science
publishDate 2021
url https://doaj.org/article/c3ef48a44faf43039a5d8cc072f5365c
work_keys_str_mv AT gangadharanmurugusundaramoorthy uniformlystarlikefunctionsanduniformlyconvexfunctionsrelatedtothepascaldistribution
AT sibelyalcın uniformlystarlikefunctionsanduniformlyconvexfunctionsrelatedtothepascaldistribution
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