Inclusion relations for some classes of analytic functions involving Pascal distribution series

Abstract In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal distribution series. Moreover, inclusion relations and integral preserving properties of these subclasses are determined.

Bibliographic Details
Main Authors: Abdel Moneim Y. Lashin, Abeer O. Badghaish, Badriah Maeed Algethami
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02897-8
_version_ 1797973406697652224
author Abdel Moneim Y. Lashin
Abeer O. Badghaish
Badriah Maeed Algethami
author_facet Abdel Moneim Y. Lashin
Abeer O. Badghaish
Badriah Maeed Algethami
author_sort Abdel Moneim Y. Lashin
collection DOAJ
description Abstract In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal distribution series. Moreover, inclusion relations and integral preserving properties of these subclasses are determined.
first_indexed 2024-04-11T04:03:45Z
format Article
id doaj.art-247e19b44dc24a5da900b240f2c17683
institution Directory Open Access Journal
issn 1029-242X
language English
last_indexed 2024-04-11T04:03:45Z
publishDate 2022-12-01
publisher SpringerOpen
record_format Article
series Journal of Inequalities and Applications
spelling doaj.art-247e19b44dc24a5da900b240f2c176832023-01-01T12:30:05ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-12-012022111310.1186/s13660-022-02897-8Inclusion relations for some classes of analytic functions involving Pascal distribution seriesAbdel Moneim Y. Lashin0Abeer O. Badghaish1Badriah Maeed Algethami2Department of Mathematics, Faculty of Science Organization, King Abdulaziz UniversityDepartment of Mathematics, Faculty of Science Organization, King Abdulaziz UniversityDepartment of Mathematics, Faculty of Science Organization, King Abdulaziz UniversityAbstract In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal distribution series. Moreover, inclusion relations and integral preserving properties of these subclasses are determined.https://doi.org/10.1186/s13660-022-02897-8Pascal operatorAnalytic functionsConvex functionsConcave functionsInclusion relationsBernardi integral operator
spellingShingle Abdel Moneim Y. Lashin
Abeer O. Badghaish
Badriah Maeed Algethami
Inclusion relations for some classes of analytic functions involving Pascal distribution series
Journal of Inequalities and Applications
Pascal operator
Analytic functions
Convex functions
Concave functions
Inclusion relations
Bernardi integral operator
title Inclusion relations for some classes of analytic functions involving Pascal distribution series
title_full Inclusion relations for some classes of analytic functions involving Pascal distribution series
title_fullStr Inclusion relations for some classes of analytic functions involving Pascal distribution series
title_full_unstemmed Inclusion relations for some classes of analytic functions involving Pascal distribution series
title_short Inclusion relations for some classes of analytic functions involving Pascal distribution series
title_sort inclusion relations for some classes of analytic functions involving pascal distribution series
topic Pascal operator
Analytic functions
Convex functions
Concave functions
Inclusion relations
Bernardi integral operator
url https://doi.org/10.1186/s13660-022-02897-8
work_keys_str_mv AT abdelmoneimylashin inclusionrelationsforsomeclassesofanalyticfunctionsinvolvingpascaldistributionseries
AT abeerobadghaish inclusionrelationsforsomeclassesofanalyticfunctionsinvolvingpascaldistributionseries
AT badriahmaeedalgethami inclusionrelationsforsomeclassesofanalyticfunctionsinvolvingpascaldistributionseries