N. A. Rather

collaborators

3 papers

math.CV2026

Inequalities Concerning Rational Functions With Prescribed Poles

N. A. Rather, Tanveer Bhat, Danish Rashid Bhat

Let $ℜ_{n}$ be the set of all rational functions of the type $r (z) = p (z) / w (z),$ where $p (z)$ is a polynomial of degree at most $n$ and $w (z) = \prod_{j = 1}^{n} (z - a_{j})$ , $∣ a_{j} ∣ > 1$ f…

math.CV2025

A refinement of Cauchys theorem on the zeros of quaternion polynomial

Nisar Ahmad Rather, Danish Rashid Bhat, Tanveer Bhat

In this paper, we shall present an interesting and significant refinement of a classical result of Cauchy about the moduli of the zeros of a quaternionic polynomial. As an applicat…

math.CV2024

Location of the zeros of quaternionic polynomials using matrix tools

N. A. Rather, Naseer Ahmad Wani, Ishfaq Dar

Using a variety of matrix techniques, the problem of locating the left eigenvalues of the quaternion companion matrices are investigated in this paper. In a recent paper, Dar et al…