Approximations of Functions by Sets of Poles

Abstract

A few special functions have been approximated in the complex plane with rational functions. The error bounds of the approximations conform to the Chebyshev criterion. The rational functions have been converted into equivalent expansions in terms of the singular functions for poles and residues. Analyses and programs are described for ten functions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0732756

Entities

People

  • A. V. Hershey

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Asymptotic Series
  • Bessel Functions
  • Binomials
  • Coefficients
  • Computations
  • Computer Programming
  • Computers
  • Equations
  • Fresnel Integrals
  • Inequalities
  • Integrals
  • Military Research
  • Ordnance Laboratories
  • Polynomials
  • Power Series

Readers

  • Linear Algebra
  • Regression Analysis.