Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series

Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series

The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution ser...

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Main Authors: B. A. Frasin, M. Darus
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
analytic functions
hadamard product
q-starlike functions
q-convex functions
pascal distribution series
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021295?viewType=HTML
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spelling doaj-c987904ea7274509aacb5ca5be75d2f02021-03-16T01:08:52ZengAIMS PressAIMS Mathematics2473-69882021-03-01655008501910.3934/math.2021295Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution seriesB. A. Frasin0M. Darus11. Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan2. Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaThe purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.http://www.aimspress.com/article/doi/10.3934/math.2021295?viewType=HTMLanalytic functionshadamard productq-starlike functionsq-convex functionspascal distribution series
collection DOAJ
language English
format Article
sources DOAJ
author B. A. Frasin
M. Darus
spellingShingle B. A. Frasin
M. Darus
Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
AIMS Mathematics
analytic functions
hadamard product
q-starlike functions
q-convex functions
pascal distribution series
author_facet B. A. Frasin
M. Darus
author_sort B. A. Frasin
title Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
title_short Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
title_full Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
title_fullStr Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
title_full_unstemmed Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series
title_sort subclass of analytic functions defined by q-derivative operator associated with pascal distribution series
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-03-01
description The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.
topic analytic functions
hadamard product
q-starlike functions
q-convex functions
pascal distribution series
url http://www.aimspress.com/article/doi/10.3934/math.2021295?viewType=HTML
work_keys_str_mv AT bafrasin subclassofanalyticfunctionsdefinedbyqderivativeoperatorassociatedwithpascaldistributionseries
AT mdarus subclassofanalyticfunctionsdefinedbyqderivativeoperatorassociatedwithpascaldistributionseries
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