Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate clas...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/260198 |
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doaj-504c5015d8c24d35b82039231ce56dfc2020-11-24T22:25:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/260198260198Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm FunctionK. AL-Shaqsi0Department of Information Technology, Nizwa College of Technology, Ministry of Manpower, P.O. Box 75, 612, OmanBy using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.http://dx.doi.org/10.1155/2014/260198 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. AL-Shaqsi |
| spellingShingle |
K. AL-Shaqsi Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function International Journal of Mathematics and Mathematical Sciences |
| author_facet |
K. AL-Shaqsi |
| author_sort |
K. AL-Shaqsi |
| title |
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function |
| title_short |
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function |
| title_full |
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function |
| title_fullStr |
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function |
| title_full_unstemmed |
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function |
| title_sort |
strong differential subordinations obtained with new integral operator defined by polylogarithm function |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2014-01-01 |
| description |
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained. |
| url |
http://dx.doi.org/10.1155/2014/260198 |
| work_keys_str_mv |
AT kalshaqsi strongdifferentialsubordinationsobtainedwithnewintegraloperatordefinedbypolylogarithmfunction |
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1725755707387543552 |