On a class of analytic functions generated by fractional integral operator
In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-01-01
|
| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/conop-2017-0001 |
| _version_ | 1818585866051780608 |
|---|---|
| author | Ibrahim Rabha W. |
| author_facet | Ibrahim Rabha W. |
| author_sort | Ibrahim Rabha W. |
| collection | DOAJ |
| description | In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of entropy is called fractional entropy; accordingly, we demand them fractional entropic geometry classes. Other geometric properties are established in the sequel. Our exhibition is supported by the Maxwell Lemma and Jack Lemma. |
| first_indexed | 2024-12-16T08:43:52Z |
| format | Article |
| id | doaj.art-398b43576c3746d591c6e1f61a01640a |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-12-16T08:43:52Z |
| publishDate | 2017-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-398b43576c3746d591c6e1f61a01640a2022-12-21T22:37:38ZengDe GruyterConcrete Operators2299-32822017-01-01411610.1515/conop-2017-0001conop-2017-0001On a class of analytic functions generated by fractional integral operatorIbrahim Rabha W.0Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaya, MalaysiaIn this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of entropy is called fractional entropy; accordingly, we demand them fractional entropic geometry classes. Other geometric properties are established in the sequel. Our exhibition is supported by the Maxwell Lemma and Jack Lemma.https://doi.org/10.1515/conop-2017-0001fractional calculusfractional entropyanalytic functionsubordination and superordination30c45 |
| spellingShingle | Ibrahim Rabha W. On a class of analytic functions generated by fractional integral operator Concrete Operators fractional calculus fractional entropy analytic function subordination and superordination 30c45 |
| title | On a class of analytic functions generated by fractional integral operator |
| title_full | On a class of analytic functions generated by fractional integral operator |
| title_fullStr | On a class of analytic functions generated by fractional integral operator |
| title_full_unstemmed | On a class of analytic functions generated by fractional integral operator |
| title_short | On a class of analytic functions generated by fractional integral operator |
| title_sort | on a class of analytic functions generated by fractional integral operator |
| topic | fractional calculus fractional entropy analytic function subordination and superordination 30c45 |
| url | https://doi.org/10.1515/conop-2017-0001 |
| work_keys_str_mv | AT ibrahimrabhaw onaclassofanalyticfunctionsgeneratedbyfractionalintegraloperator |