ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS
<p dir="ltr">This paper considers a special class <i>S</i><sub><em>L</em></sub><i>(</i><i>h) </i>of logharmonic mappings of the form<i> f</i> (<i>z</i>) = <i>h (z) h' (z)</i> where h...
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2024
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| _version_ | 1864513545489612800 |
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| author | Zayid Abdulhadi (21633479) |
| author2 | Layan El Hajj (21633482) |
| author2_role | author |
| author_facet | Zayid Abdulhadi (21633479) Layan El Hajj (21633482) |
| author_role | author |
| dc.creator.none.fl_str_mv | Zayid Abdulhadi (21633479) Layan El Hajj (21633482) |
| dc.date.none.fl_str_mv | 2024-02-08T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s10958-024-06927-2 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/ON_A_SPECIAL_CLASS_OF_LOGHARMONIC_MAPPINGS/29445992 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Pure mathematics Logharmonic mappings Rotationally starlike mappings Radius of starlikeness Distortion estimate |
| dc.title.none.fl_str_mv | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">This paper considers a special class <i>S</i><sub><em>L</em></sub><i>(</i><i>h) </i>of logharmonic mappings of the form<i> f</i> (<i>z</i>) = <i>h (z) h' (z)</i> where h is analytic in the unit disk <i>U</i>, normalized by , h(0) = 0, h (0) , and h(<i>U</i>) is starlike. For this class of functions, a distortion theorem is proved, and Bohr’s inequality along with some improvements and refinements is investigated. In addition, the radius of starlikeness and an estimate for arclength are obtained.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: Journal of Mathematical Sciences<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s10958-024-06927-2" target="_blank">https://dx.doi.org/10.1007/s10958-024-06927-2</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_e629fabe4aae9a70ee22b9bbb84337c6 |
| identifier_str_mv | 10.1007/s10958-024-06927-2 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/29445992 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGSZayid Abdulhadi (21633479)Layan El Hajj (21633482)Mathematical sciencesApplied mathematicsPure mathematicsLogharmonic mappingsRotationally starlike mappingsRadius of starlikenessDistortion estimate<p dir="ltr">This paper considers a special class <i>S</i><sub><em>L</em></sub><i>(</i><i>h) </i>of logharmonic mappings of the form<i> f</i> (<i>z</i>) = <i>h (z) h' (z)</i> where h is analytic in the unit disk <i>U</i>, normalized by , h(0) = 0, h (0) , and h(<i>U</i>) is starlike. For this class of functions, a distortion theorem is proved, and Bohr’s inequality along with some improvements and refinements is investigated. In addition, the radius of starlikeness and an estimate for arclength are obtained.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: Journal of Mathematical Sciences<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s10958-024-06927-2" target="_blank">https://dx.doi.org/10.1007/s10958-024-06927-2</a></p>2024-02-08T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s10958-024-06927-2https://figshare.com/articles/journal_contribution/ON_A_SPECIAL_CLASS_OF_LOGHARMONIC_MAPPINGS/29445992CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/294459922024-02-08T03:00:00Z |
| spellingShingle | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS Zayid Abdulhadi (21633479) Mathematical sciences Applied mathematics Pure mathematics Logharmonic mappings Rotationally starlike mappings Radius of starlikeness Distortion estimate |
| status_str | publishedVersion |
| title | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| title_full | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| title_fullStr | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| title_full_unstemmed | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| title_short | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| title_sort | ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS |
| topic | Mathematical sciences Applied mathematics Pure mathematics Logharmonic mappings Rotationally starlike mappings Radius of starlikeness Distortion estimate |