coupled systems of equations with entire and polynomial functions
نویسندگان
چکیده
we consider the coupled system$f(x,y)=g(x,y)=0$,where$$f(x, y)=bs 0 {m_1} a_k(y)x^{m_1-k}mbox{ and } g(x, y)=bs 0 {m_2} b_k(y)x^{m_2-k}$$with entire functions $a_k(y), b_k(y)$.we derive a priory estimates for the sums of the rootsof the considered system andfor the counting function of roots.
منابع مشابه
Coupled systems of equations with entire and polynomial functions
We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$.We derive a priory estimates for the sums of the rootsof the considered system andfor the counting function of roots.
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عنوان ژورنال:
international journal of nonlinear analysis and applicationsناشر: semnan university
ISSN
دوره 3
شماره 1 2012
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