Abstract
A general property of arbitrary polynomials is proved, one form of which is as follows. If
f
(z) has the zeros α
1
....., α
m
, and
f
'(z) has the zeros
β
1
,...,
β
m-1
then m-1 m II max (1, |β
j
|) < II max (1, |α
j
|). j=1 j=1
Reference2 articles.
1. An application of Jensen's formula to polynomials
2. Marden M. 1949 The geom etryof the zeros of a p olynom ial in the complex plane. Math. Surv. Amer. Math. Soc. 3.
Cited by
36 articles.
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