Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China. Department of Mathematics, Southwest University of Science and Technology, Mianyang, China ...

The main object of this paper is to consider the asymptotic distribution of the zeros of certain classes of the Clausenian hypergeometric 3 F 2 functions and polynomials. Some classical analytic ...

The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

Abstract: Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression. Given in-band ripple level and ...

ABSTRACT: In this paper, we combine Graeffe matrices with the classical numerical method of Dandelin-Graeffe to estimate bounds for the moduli of the zeros of polynomials. Furthermore, we give some ...

Abstract: A general framework for deriving multi-parameter classes of methods of any presribed order is presented. In particular, two classes of cubically and fourth order convergent iterative methods ...

Dr Bahman Kalantari discusses a piece of software that he has developed through his research into polynomial root-finding. With this software, users can explore the world of polynomials and their ...