Abstract <p>In this paper, by using matrix methods a result concerning the location of zeros of quaternionic polynomial is obtained which yields a significant refinement of the classical result of Cauchy and a zero bound involving Binomial coefficients and Fibonacci’s numbers. A variety of other results concerning the zeros of quaternionic polynomials are also established.</p>

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On the Location of Zeros of a Quaternionic Polynomial

  • N. A. Rather,
  • D. R. Bhat

摘要

Abstract

In this paper, by using matrix methods a result concerning the location of zeros of quaternionic polynomial is obtained which yields a significant refinement of the classical result of Cauchy and a zero bound involving Binomial coefficients and Fibonacci’s numbers. A variety of other results concerning the zeros of quaternionic polynomials are also established.