On the zeros of certain self-reciprocal polynomials

We investigate the distribution of zeros around the unit circle of real self-reciprocal polynomials of even degrees with five terms whose absolute values of middle coefficients equal the sum of all other coefficients. Furthermore, it also give a new inequality and other Eneström–Kakeya types of results as by-products of this investigation. © 2007 Elsevier Inc. All rights reserved