Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/7390410 |
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| _version_ | 1832551814180896768 |
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| author | Badr S. Alkahtani Saima Mustafa Teodor Bulboacă |
| author_facet | Badr S. Alkahtani Saima Mustafa Teodor Bulboacă |
| author_sort | Badr S. Alkahtani |
| collection | DOAJ |
| description | We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed. |
| format | Article |
| id | doaj-art-77545fc9ffca49c6b2d5af0bd13d4158 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-77545fc9ffca49c6b2d5af0bd13d41582025-02-03T06:00:31ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/73904107390410Subclasses of Analytic Functions Defined by Generalized Hypergeometric FunctionsBadr S. Alkahtani0Saima Mustafa1Teodor Bulboacă2Mathematics Department, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaDepartment of Mathematics, Pir Mehr Ali Shah Arid Agriculture University, Rawalpindi, PakistanFaculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaWe introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors. Inclusion results, radius problems, and some connections with the Bernardi-Libera-Livingston integral operator are discussed.http://dx.doi.org/10.1155/2016/7390410 |
| spellingShingle | Badr S. Alkahtani Saima Mustafa Teodor Bulboacă Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions Journal of Function Spaces |
| title | Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions |
| title_full | Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions |
| title_fullStr | Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions |
| title_full_unstemmed | Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions |
| title_short | Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions |
| title_sort | subclasses of analytic functions defined by generalized hypergeometric functions |
| url | http://dx.doi.org/10.1155/2016/7390410 |
| work_keys_str_mv | AT badrsalkahtani subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions AT saimamustafa subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions AT teodorbulboaca subclassesofanalyticfunctionsdefinedbygeneralizedhypergeometricfunctions |