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A note on the location of poles of meromorphic functions | ||
| Journal of Hyperstructures | ||
| دوره 10، شماره 2، اسفند 2021، صفحه 137-149 اصل مقاله (359.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2021.2647 | ||
| نویسندگان | ||
| Sanjib Kumar Datta* 1؛ Tanchar Molla2 | ||
| 1Department of Mathematics, University of Kalyani, P.O.:Kalyani, Dist.:Nadia, Pin:741235, West Bengal, India. | ||
| 2Department of Mathematics, Dumkal College, P.O: Basantapur, P.S:Dumkal, Dist.:Murshidabad, Pin: 742406, West Bengal, India. | ||
| چکیده | ||
| A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio between two 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. | ||
| کلیدواژه‌ها | ||
| Meromorphic function؛ poles؛ order | ||
| مراجع | ||
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