A note on the location of poles of meromorphic functions
A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio betweentwo analytic functions defined on D with denominator not identically zero. Poles of meromorphic functions are those zeros of the denominator where numerator does not vanish. Finding all...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2021-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2647_5a9e4b20431cfe13ee0b6b94d80082a5.pdf |
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| author | Sanjib Kumar Datta Tanchar Molla |
| author_facet | Sanjib Kumar Datta Tanchar Molla |
| author_sort | Sanjib Kumar Datta |
| collection | DOAJ |
| description | A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio betweentwo analytic functions defined on D with denominator not identically zero. Poles of meromorphic functions are those zeros of the denominator where numerator does not vanish. Finding all poles of a meromorphic function is too much difficult. So, it is desirable to know a region where these poles lie. In the paper we derive a region containing all the poles of some meromorphic functions. A few examples with related figures are given here to validate the results obtained. |
| format | Article |
| id | doaj-art-db9e81c968914d44b59ec8f8cc3bfb1b |
| institution | Matheson Library |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-db9e81c968914d44b59ec8f8cc3bfb1b2025-07-09T08:35:45ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662021-12-0110213714910.22098/jhs.2021.26472647A note on the location of poles of meromorphic functionsSanjib Kumar Datta0Tanchar Molla1Department of Mathematics, University of Kalyani, P.O.:Kalyani, Dist.:Nadia, Pin:741235, West Bengal, India.Department of Mathematics, Dumkal College, P.O: Basantapur, P.S:Dumkal, Dist.:Murshidabad, Pin: 742406, West Bengal, India.A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio betweentwo analytic functions defined on D with denominator not identically zero. Poles of meromorphic functions are those zeros of the denominator where numerator does not vanish. Finding all poles of a meromorphic function is too much difficult. So, it is desirable to know a region where these poles lie. In the paper we derive a region containing all the poles of some meromorphic functions. A few examples with related figures are given here to validate the results obtained.https://jhs.uma.ac.ir/article_2647_5a9e4b20431cfe13ee0b6b94d80082a5.pdfmeromorphic functionpolesorder |
| spellingShingle | Sanjib Kumar Datta Tanchar Molla A note on the location of poles of meromorphic functions Journal of Hyperstructures meromorphic function poles order |
| title | A note on the location of poles of meromorphic functions |
| title_full | A note on the location of poles of meromorphic functions |
| title_fullStr | A note on the location of poles of meromorphic functions |
| title_full_unstemmed | A note on the location of poles of meromorphic functions |
| title_short | A note on the location of poles of meromorphic functions |
| title_sort | note on the location of poles of meromorphic functions |
| topic | meromorphic function poles order |
| url | https://jhs.uma.ac.ir/article_2647_5a9e4b20431cfe13ee0b6b94d80082a5.pdf |
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