A proper subclass of Maclane's class
The MacLane's class of analytic functions is the class of nonconstant analytic functions in the unit disk that have asymptotic values at a dense subset of the unit circle. In this paper, we define a subclass ℛ of consisting of those functions that have asymptotic values at a dense subset of the...
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1999
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| Online Access: | http://hdl.handle.net/10725/10132 http://dx.doi.org/10.1155/S0161171299224635 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.hindawi.com/journals/ijmms/1999/373625/abs/ |
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| _version_ | 1864513486127628288 |
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| author | Hamdan, May |
| author_facet | Hamdan, May |
| author_role | author |
| dc.creator.none.fl_str_mv | Hamdan, May |
| dc.date.none.fl_str_mv | 1999 2019-03-06T13:24:32Z 2019-03-06T13:24:32Z 2019-03-06 |
| dc.identifier.none.fl_str_mv | 0161-1712 http://hdl.handle.net/10725/10132 http://dx.doi.org/10.1155/S0161171299224635 Hamdan, M. (1999). A proper subclass of Maclane's class . International Journal of Mathematics and Mathematical Sciences, 22(3), 463-468. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.hindawi.com/journals/ijmms/1999/373625/abs/ |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | International Journal of Mathematics and Mathematical Sciences |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A proper subclass of Maclane's class |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The MacLane's class of analytic functions is the class of nonconstant analytic functions in the unit disk that have asymptotic values at a dense subset of the unit circle. In this paper, we define a subclass ℛ of consisting of those functions that have asymptotic values at a dense subset of the unit circle reached along rectifiable asymptotic paths. We also show that the class ℛ is a proper subclass of by constructing a function f∈ that admits no asymptotic paths of finite length. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_3ff8d528b5307769e9fa7920f2001db6 |
| identifier_str_mv | 0161-1712 Hamdan, M. (1999). A proper subclass of Maclane's class . International Journal of Mathematics and Mathematical Sciences, 22(3), 463-468. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/10132 |
| publishDate | 1999 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A proper subclass of Maclane's class Hamdan, MayThe MacLane's class of analytic functions is the class of nonconstant analytic functions in the unit disk that have asymptotic values at a dense subset of the unit circle. In this paper, we define a subclass ℛ of consisting of those functions that have asymptotic values at a dense subset of the unit circle reached along rectifiable asymptotic paths. We also show that the class ℛ is a proper subclass of by constructing a function f∈ that admits no asymptotic paths of finite length.PublishedN/A2019-03-06T13:24:32Z2019-03-06T13:24:32Z19992019-03-06Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0161-1712http://hdl.handle.net/10725/10132http://dx.doi.org/10.1155/S0161171299224635Hamdan, M. (1999). A proper subclass of Maclane's class . International Journal of Mathematics and Mathematical Sciences, 22(3), 463-468.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://www.hindawi.com/journals/ijmms/1999/373625/abs/enInternational Journal of Mathematics and Mathematical Sciencesinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/101322021-03-19T10:45:28Z |
| spellingShingle | A proper subclass of Maclane's class Hamdan, May |
| status_str | publishedVersion |
| title | A proper subclass of Maclane's class |
| title_full | A proper subclass of Maclane's class |
| title_fullStr | A proper subclass of Maclane's class |
| title_full_unstemmed | A proper subclass of Maclane's class |
| title_short | A proper subclass of Maclane's class |
| title_sort | A proper subclass of Maclane's class |
| url | http://hdl.handle.net/10725/10132 http://dx.doi.org/10.1155/S0161171299224635 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.hindawi.com/journals/ijmms/1999/373625/abs/ |