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A note on the location of poles of meromorphic functions

عنوان مقاله: A note on the location of poles of meromorphic functions
شناسه ملی مقاله: JR_JHSMS-10-2_005
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:

Sanjib Kumar Datta - Department of Mathematics, University of Kalyani, P.O.:Kalyani, Dist.:Nadia, Pin:۷۴۱۲۳۵, West Bengal, India.
Tanchar Molla - Department of Mathematics, Dumkal College, P.O: Basantapur, P.S:Dumkal, Dist.:Murshidabad, Pin: ۷۴۲۴۰۶, West Bengal, India.

خلاصه مقاله:
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.

کلمات کلیدی:
Meromorphic function, poles, order

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902789/