No CrossRef data available.
Article contents
The zeros of linear combinations of translates of polynomials
Published online by Cambridge University Press: 09 April 2009
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 λ ∈ I, all zeros of f (x + 2ic) + 2λf (x) + f (x – 2ic) are also real.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 72 , Issue 1 , February 2002 , pp. 109 - 118
- Copyright
- Copyright © Australian Mathematical Society 2002