@article {
author = {Gil, M.},
title = {Coupled systems of equations with entire and polynomial functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {68-73},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {},
doi = {10.22075/ijnaa.2012.50},
abstract = {We consider the coupled system $F(x,y)=G(x,y)=0$, where$$F(x, y)=\sum_{k=0}^{m_1} A_k(y)x^{m_1-k} \quad \text{ and }\quad G(x, y)=\sum_{k=0}^{m_2} B_k(y)x^{m_2-k}$$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. },
keywords = {coupled systems,entire and polynomial functions,a priory estimates,resultant},
url = {https://ijnaa.semnan.ac.ir/article_50.html},
eprint = {https://ijnaa.semnan.ac.ir/article_50_83572860bd97d3b8e406d7307cfde65b.pdf}
}