The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial ...

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 ...

Recently, a number of papers research on complex difference equations and differences analogues of Nevanlinna’s theory [2-6]. Bergweiler and Langley [7] firstly investigated the existence of zeros of, ...

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 ...

Abstract: In this paper, disks containing some, or all zeros of a complex polynomial or eigenvalues of a complex matrix are developed. These disks are based on extensions of Cauchy classical bounds, ...

The ability to find the zeros or roots of a function is an essential skill in mathematics as it helps in understanding the behavior of functions, solving equations, and graphing. With the help of a ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...