An application of the generalized Bessel function

We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

Bibliographic Details
Main Authors: Hanan Darwish, Abdel Moneim Lashin, Bashar Hassan
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_7.pdf
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spelling doaj-d02ad383d226475a8f80adb9893596052020-11-25T01:54:08ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-04-011421758410.21136/MB.2017.0006-16MB.2017.0006-16An application of the generalized Bessel functionHanan DarwishAbdel Moneim LashinBashar HassanWe introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.http://mb.math.cas.cz/full/142/1/mb142_1_7.pdf Bessel operator starlike function convex function close-to-convex function
collection DOAJ
language English
format Article
sources DOAJ
author Hanan Darwish
Abdel Moneim Lashin
Bashar Hassan
spellingShingle Hanan Darwish
Abdel Moneim Lashin
Bashar Hassan
An application of the generalized Bessel function
Mathematica Bohemica
Bessel operator
starlike function
convex function
close-to-convex function
author_facet Hanan Darwish
Abdel Moneim Lashin
Bashar Hassan
author_sort Hanan Darwish
title An application of the generalized Bessel function
title_short An application of the generalized Bessel function
title_full An application of the generalized Bessel function
title_fullStr An application of the generalized Bessel function
title_full_unstemmed An application of the generalized Bessel function
title_sort application of the generalized bessel function
publisher Institute of Mathematics of the Czech Academy of Science
series Mathematica Bohemica
issn 0862-7959
2464-7136
publishDate 2017-04-01
description We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
topic Bessel operator
starlike function
convex function
close-to-convex function
url http://mb.math.cas.cz/full/142/1/mb142_1_7.pdf
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