ZEROS OF A POLYNOMIAL WITH RESTRICTED COEFFICIENTS

Let ?? ? n j j j P z a z ( ) be a polynomial of degree n whose coefficients satisfy an ? an?1 ? ...... ? a1 ? a0 ? 0 . Then , a classical result of Enestrom and Kakeya says that all the zeros of P(z) lie in z ? 1 . In this paper , we give some extensions and generalizations of this result. Mathematics Subject Classification: 30C10, 30C15.