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.
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2017-07-01
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Series: | Journal of the Egyptian Mathematical Society |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X17300196 |
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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 |
_version_ |
1725079342930722816 |