Conformable differential operators for meromorphically multivalent functions
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution prop...
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De Gruyter
2021
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oai:doaj.org-article:fbad4d841b694d1fa217e824a04521ce2021-12-05T14:10:45ZConformable differential operators for meromorphically multivalent functions2299-328210.1515/conop-2020-0113https://doaj.org/article/fbad4d841b694d1fa217e824a04521ce2021-11-01T00:00:00Zhttps://doi.org/10.1515/conop-2020-0113https://doaj.org/toc/2299-3282We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution properties for this class of conformable operators.Ibrahim Rabha W.Baleanu DumitruJahangiri Jay M.De Gruyterarticlesubordination and superordinationmeromorphically multivalent functionsunivalent functionanalytic functionopen unit diskconformable fractional operatorfractional calculus30c5530c45MathematicsQA1-939ENConcrete Operators, Vol 8, Iss 1, Pp 150-157 (2021) |
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DOAJ |
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EN |
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subordination and superordination meromorphically multivalent functions univalent function analytic function open unit disk conformable fractional operator fractional calculus 30c55 30c45 Mathematics QA1-939 |
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subordination and superordination meromorphically multivalent functions univalent function analytic function open unit disk conformable fractional operator fractional calculus 30c55 30c45 Mathematics QA1-939 Ibrahim Rabha W. Baleanu Dumitru Jahangiri Jay M. Conformable differential operators for meromorphically multivalent functions |
description |
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution properties for this class of conformable operators. |
format |
article |
author |
Ibrahim Rabha W. Baleanu Dumitru Jahangiri Jay M. |
author_facet |
Ibrahim Rabha W. Baleanu Dumitru Jahangiri Jay M. |
author_sort |
Ibrahim Rabha W. |
title |
Conformable differential operators for meromorphically multivalent functions |
title_short |
Conformable differential operators for meromorphically multivalent functions |
title_full |
Conformable differential operators for meromorphically multivalent functions |
title_fullStr |
Conformable differential operators for meromorphically multivalent functions |
title_full_unstemmed |
Conformable differential operators for meromorphically multivalent functions |
title_sort |
conformable differential operators for meromorphically multivalent functions |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/fbad4d841b694d1fa217e824a04521ce |
work_keys_str_mv |
AT ibrahimrabhaw conformabledifferentialoperatorsformeromorphicallymultivalentfunctions AT baleanudumitru conformabledifferentialoperatorsformeromorphicallymultivalentfunctions AT jahangirijaym conformabledifferentialoperatorsformeromorphicallymultivalentfunctions |
_version_ |
1718371757147029504 |