"Birkhoff–James Orthogonality and the Zeros of an Analytic Function" by Raymond Cheng, Javad Mashreghi et al.
 

DOI

10.1007/s40315-017-0191-5

Abstract

Bounds are obtained for the zeros of an analytic function on a disk in terms of the Taylor coefficients of the function. These results are derived using the notion of Birkhoff–James orthogonality in the sequence space ℓp with p ∈ (1,∞), along with an associated Pythagorean theorem. It is shown that these methods are able to reproduce, and in some cases sharpen, some classical bounds for the roots of a polynomial.

Document Type

Article

Publication Date

2017

Publisher Statement

Copyright © 2017 Springer. This article first appeared in Computational Methods and Function Theory 17:3 (2017), 499-523.

Please note that downloads of the article are for private/personal use only.

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 6
  • Usage
    • Downloads: 213
    • Abstract Views: 26
  • Captures
    • Readers: 2
see details

Included in

Mathematics Commons

Share

COinS