Coupled systems of equations with entire and polynomial functions

Document Type : Research Paper

Author

Department of Mathematics, Ben Gurion University of the Negev

Abstract

We consider the coupled system F(x,y)=G(x,y)=0, where
F(x,y)=k=0m1Ak(y)xm1k and G(x,y)=k=0m2Bk(y)xm2k
with entire functions Ak(y),Bk(y). We derive a priory estimate for the sums of the roots of the considered system and for the counting function of roots. 

Keywords

  • Receive Date: 07 January 2011
  • Revise Date: 07 September 2011
  • Accept Date: 07 September 2011