On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives
The main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives. The general Besov-type classes of meromorphic functions as well as the general normal functions are considered intensively and both are comp...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5588626 |
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| author | A. El-Sayed Ahmed S. Attia Ahmed |
| author_facet | A. El-Sayed Ahmed S. Attia Ahmed |
| author_sort | A. El-Sayed Ahmed |
| collection | DOAJ |
| description | The main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives. The general Besov-type classes of meromorphic functions as well as the general normal functions are considered intensively and both are compared deeply with each other. Specifically, multiple results concerning general meromorphic-type classes as well as non-normal classes are obtained by the help of general spherical derivatives. The concerned results are proved by constructing some specific mild conditions on the sequences of points belonging to the concerned meromorphic-type classes. The obtained results generalize and improve the corresponding previous results in some concerned respects. The concerned proofs and methods are simply presented. |
| format | Article |
| id | doaj-art-61e72933b08f45ddb253bbf2ee0b5bf8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-61e72933b08f45ddb253bbf2ee0b5bf82025-02-03T06:46:14ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55886265588626On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical DerivativesA. El-Sayed Ahmed0S. Attia Ahmed1Mathematics Department, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaMathematics Department, Faculty of Science, Assiut University, Assiut, EgyptThe main concerned target of this article is to define and study some concerned classes of meromorphic function spaces using the general spherical derivatives. The general Besov-type classes of meromorphic functions as well as the general normal functions are considered intensively and both are compared deeply with each other. Specifically, multiple results concerning general meromorphic-type classes as well as non-normal classes are obtained by the help of general spherical derivatives. The concerned results are proved by constructing some specific mild conditions on the sequences of points belonging to the concerned meromorphic-type classes. The obtained results generalize and improve the corresponding previous results in some concerned respects. The concerned proofs and methods are simply presented.http://dx.doi.org/10.1155/2021/5588626 |
| spellingShingle | A. El-Sayed Ahmed S. Attia Ahmed On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives Journal of Mathematics |
| title | On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives |
| title_full | On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives |
| title_fullStr | On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives |
| title_full_unstemmed | On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives |
| title_short | On Some Classes with Norms of Meromorphic Function Spaces Defined by General Spherical Derivatives |
| title_sort | on some classes with norms of meromorphic function spaces defined by general spherical derivatives |
| url | http://dx.doi.org/10.1155/2021/5588626 |
| work_keys_str_mv | AT aelsayedahmed onsomeclasseswithnormsofmeromorphicfunctionspacesdefinedbygeneralsphericalderivatives AT sattiaahmed onsomeclasseswithnormsofmeromorphicfunctionspacesdefinedbygeneralsphericalderivatives |