H. A. Soleiman Mezerji and M. Bidkham
Received: July 16, 2013; Accepted: January 10, 2014
Abstract. Let p(z) be a polynomial with complex coefficients. In this paper, we obtain some new results concerning the location of zeros of polynomials p(z). Our results sharpened Cauchy's result, along with some of the other known results, which were based on the classical Cauchy's work. Finally, we prove the results concerning the bounds for the number of zeros for the polynomial p(z), which generalize some known results.
Keywords: Cauchy theorem; Eneström-Kakeya theorem; zeros.
AMS Subject classification: Primary: 30C10, 30C15
Version to read: PDF
ISSN 0862-9544 (Printed edition)
Faculty of Mathematics, Physics and Informatics
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: firstname.lastname@example.org Internet: www.iam.fmph.uniba.sk/amuc
© 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE