J. Austral. Math. Soc.
72 (2002), 109-117 | ||
The zeros of linear combinations of translates of polynomials
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Abstract | ||
We investigate the location and separation of
zeros of certain three-term linear combination of
translates of polynomials. In particular, we find
an interval of the form
I = [ - 1, 1 + h ],
h > 0
such that for a polynomial f, all of whose zeros are real, and
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