The Behavior of the Pade Table for the Exponential.

Abstract

In this paper we survey recent results and present some new theorems on the behavior of Pade approximants for e(-z). The new results include necessary and sufficient conditions for (1) a sequence of approximants to be pole-free in an infinite sector, and (2) a sequence of approximants to converge geometrically in the uniform norm over an infinite sector. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA025099

Entities

People

  • E. B. Saff
  • R. S. Varga

Organizations

  • University of South Florida

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Mathematics
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis