Accession Number:

ADA021128

Title:

On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials,

Descriptive Note:

Corporate Author:

KENT STATE UNIV OHIO DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1975-01-01

Pagination or Media Count:

19.0

Abstract:

In this paper, the authors establish the sharpness of a theorem concerning zero-free parabolic regions for certain sequences of polynomials satisfying a three-term recurrence relation. Similarly, the authors establish the sharpness of a zero-free sectorial region for certain sequences of Pade approximants to e sup z.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE