a1 College of Arts and Science, American University of Sharjah, P.O. 26666 Sharjah, United Arab Emirates e-mail: firstname.lastname@example.org
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.
(Received September 26 2000)
(Revised February 07 2001)
2000 Mathematics subject classification