| dc.contributor.author | Nuray, Fatih | |
| dc.contributor.author | Patterson, Richard | |
| dc.date.accessioned | 2019-12-23T14:07:04Z | |
| dc.date.available | 2019-12-23T14:07:04Z | |
| dc.date.issued | 2017 | en_US |
| dc.identifier.citation | Patterson, R. & Nuray, F. (2017). A characterization of holomorphic bivariate functions of bounded index. Mathematica Slovaca, 67(3), pp. 731-736. Retrieved 23 Dec. 2019, from doi:10.1515/ms-2017-0005 | en_US |
| dc.identifier.uri | https://www.degruyter.com/view/j/ms.2017.67.issue-3/ms-2017-0005/ms-2017-0005.xml | |
| dc.identifier.uri | https://hdl.handle.net/11630/7641 | |
| dc.description.abstract | The following notion of bounded index for complex entire functions was presented by
Lepson. function f(z) is of bounded index if there exists an integer N independent of z, such that
The main goal of this paper is extend this notion to holomorphic bivariate function. To that end, we
obtain the following definition. A holomorphic bivariate function is of bounded index, if there exist
two integers M and N such that M and N are the least integers such that Using this notion we present necessary and sufficient conditions that ensure that a holomorphic bivariate
function is of bounded index. | en_US |
| dc.language.iso | eng | en_US |
| dc.identifier.doi | 10.1515/ms-2017-0005 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | RH-regular Matrix | en_US |
| dc.subject | Pringsheim Limit Point | en_US |
| dc.subject | Bivariate Entire Function | en_US |
| dc.subject | Double Sequence | en_US |
| dc.title | A characterization of holomorphic bivariate functions of bounded index | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Mathematica Slovaca | en_US |
| dc.department | Fen-Edebiyat Fakültesi | en_US |
| dc.authorid | 0000-0003-0160-4001 | en_US |
| dc.identifier.volume | 67 | en_US |
| dc.identifier.startpage | 731 | en_US |
| dc.identifier.endpage | 736 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.contributor.institutionauthor | Nuray, Fatih | |
