Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions

Making use of the operator Lq,ν associated with functions of the form f(z)=1z+∑k=1∞akzk−1, which are analytic in the punctured unit disc U*:=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties and coefficient estimates for these subclasses.

Bibliographic Details
Main Authors: Adela O. Mostafa, Mohamed K. Aouf, Hanaa M. Zayed, Teodor Bulboacă
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X17300196
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spelling doaj-21e5797286154d62b295599755a7804e2020-11-25T01:33:06ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-07-0125328629010.1016/j.joems.2017.03.006Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functionsAdela O. Mostafa0Mohamed K. Aouf1Hanaa M. Zayed2Teodor Bulboacă3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, EgyptFaculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaMaking use of the operator Lq,ν associated with functions of the form f(z)=1z+∑k=1∞akzk−1, which are analytic in the punctured unit disc U*:=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties and coefficient estimates for these subclasses.http://www.sciencedirect.com/science/article/pii/S1110256X17300196Univalent functionsMeromorphic functionsHadamard (or convolution) productSubordinationq-derivativeq-Bessel’s function
collection DOAJ
language English
format Article
sources DOAJ
author Adela O. Mostafa
Mohamed K. Aouf
Hanaa M. Zayed
Teodor Bulboacă
spellingShingle Adela O. Mostafa
Mohamed K. Aouf
Hanaa M. Zayed
Teodor Bulboacă
Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
Journal of the Egyptian Mathematical Society
Univalent functions
Meromorphic functions
Hadamard (or convolution) product
Subordination
q-derivative
q-Bessel’s function
author_facet Adela O. Mostafa
Mohamed K. Aouf
Hanaa M. Zayed
Teodor Bulboacă
author_sort Adela O. Mostafa
title Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
title_short Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
title_full Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
title_fullStr Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
title_full_unstemmed Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions
title_sort convolution conditions for subclasses of meromorphic functions of complex order associated with basic bessel functions
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 1110-256X
publishDate 2017-07-01
description Making use of the operator Lq,ν associated with functions of the form f(z)=1z+∑k=1∞akzk−1, which are analytic in the punctured unit disc U*:=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties and coefficient estimates for these subclasses.
topic Univalent functions
Meromorphic functions
Hadamard (or convolution) product
Subordination
q-derivative
q-Bessel’s function
url http://www.sciencedirect.com/science/article/pii/S1110256X17300196
work_keys_str_mv AT adelaomostafa convolutionconditionsforsubclassesofmeromorphicfunctionsofcomplexorderassociatedwithbasicbesselfunctions
AT mohamedkaouf convolutionconditionsforsubclassesofmeromorphicfunctionsofcomplexorderassociatedwithbasicbesselfunctions
AT hanaamzayed convolutionconditionsforsubclassesofmeromorphicfunctionsofcomplexorderassociatedwithbasicbesselfunctions
AT teodorbulboaca convolutionconditionsforsubclassesofmeromorphicfunctionsofcomplexorderassociatedwithbasicbesselfunctions
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