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Direct limits and maximality of stable planes

✍ Scribed by T. Grundhöfer; M. Stroppel

Publisher
Springer
Year
2000
Tongue
English
Weight
120 KB
Volume
75
Category
Article
ISSN
0003-889X

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We prove that any polynomial having all its roots in a closed half-plane, whose boundary contains the origin, has either one or two maximal points, and only one if it has at least one root in the open half-plane. This result concerns stable polynomials as well as polynomials having only real roots,