Limits of zeroes of recursively defined polynomials
AUTOR(ES)
Beraha, S.
RESUMO
Let {Pn(z)} be a sequence of polynomials satisfying a linear homogeneous recursion whose coefficients are polynomials in z. Necessary and sufficient conditions are found, subject to mild nondegeneracy conditions, that a number x be a limit of zeroes of {Pn} in the sense that there is a sequence {zn} with Pn(zn) = 0, zn→x. An application is given to a family of polynomials arising in a map-coloring problem.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=388687Documentos Relacionados
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