Let 0In this paper we shall obtain similar type of inequalities in reverse order for the polynomials having r fold zeros at origin and rest of the zeros in || zk , 1 k .
Mathematics Subject Classification (2010): 30A10, 30C15, 30C10
The Eneström-Kakeya Theorem states that if 0 () n j j j p z a z is a polynomial satisfying 0 1 0 ... n a a a , then () p z does not vanish in | | 1 z . In this paper we present related results by considering polynomials with complex coefficients and by putting restrictions on the arguments and moduli of the coefficients.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.