Coupled systems of equations with entire and polynomial functions
Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-3-1_010
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
We consider the coupled system F(x,y)=G(x,y)=۰, whereF(x, y)=\sum_{k=۰}^{m_۱} A_k(y)x^{m_۱-k} \quad \text{ and }\quad G(x, y)=\sum_{k=۰}^{m_۲} B_k(y)x^{m_۲-k}with entire functions A_k(y), B_k(y). We derive a priory estimate for the sums of the roots of the considered system and for the counting function of roots.
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Department of Mathematics, Ben Gurion University of the Negev