On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula>
<p>Abstract</p> <p>The purpose of this paper is to introduce two novel subclasses <inline-formula> <graphic file="1029-242X-2011-401913-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2011-401913-i4.gif"/>&l...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/401913 |
| _version_ | 1818778277090689024 |
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| author | Saif Amin Kılıçman Adem |
| author_facet | Saif Amin Kılıçman Adem |
| author_sort | Saif Amin |
| collection | DOAJ |
| description | <p>Abstract</p> <p>The purpose of this paper is to introduce two novel subclasses <inline-formula> <graphic file="1029-242X-2011-401913-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2011-401913-i4.gif"/></inline-formula> of meromorphic <inline-formula> <graphic file="1029-242X-2011-401913-i5.gif"/></inline-formula>valent functions by using the linear operator <inline-formula> <graphic file="1029-242X-2011-401913-i6.gif"/></inline-formula>. Then we prove the necessary and sufficient conditions for a function <inline-formula> <graphic file="1029-242X-2011-401913-i7.gif"/></inline-formula> in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i8.gif"/></inline-formula>valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.</p> |
| first_indexed | 2024-12-18T11:42:10Z |
| format | Article |
| id | doaj.art-5bea8578866d4ea39547c2478bf48ae3 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-18T11:42:10Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5bea8578866d4ea39547c2478bf48ae32022-12-21T21:09:24ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111401913On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula>Saif AminKılıçman Adem<p>Abstract</p> <p>The purpose of this paper is to introduce two novel subclasses <inline-formula> <graphic file="1029-242X-2011-401913-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2011-401913-i4.gif"/></inline-formula> of meromorphic <inline-formula> <graphic file="1029-242X-2011-401913-i5.gif"/></inline-formula>valent functions by using the linear operator <inline-formula> <graphic file="1029-242X-2011-401913-i6.gif"/></inline-formula>. Then we prove the necessary and sufficient conditions for a function <inline-formula> <graphic file="1029-242X-2011-401913-i7.gif"/></inline-formula> in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i8.gif"/></inline-formula>valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.</p>http://www.journalofinequalitiesandapplications.com/content/2011/401913 |
| spellingShingle | Saif Amin Kılıçman Adem On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> Journal of Inequalities and Applications |
| title | On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> |
| title_full | On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> |
| title_fullStr | On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> |
| title_full_unstemmed | On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> |
| title_short | On Certain Subclasses of Meromorphically <inline-formula> <graphic file="1029-242X-2011-401913-i1.gif"/></inline-formula>-Valent Functions Associated by the Linear Operator <inline-formula> <graphic file="1029-242X-2011-401913-i2.gif"/></inline-formula> |
| title_sort | on certain subclasses of meromorphically inline formula graphic file 1029 242x 2011 401913 i1 gif inline formula valent functions associated by the linear operator inline formula graphic file 1029 242x 2011 401913 i2 gif inline formula |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/401913 |
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