AN ALGORITHM FOR ANALYTIC CONTINUATION

Abstract

Let an analytic function f of a single complex variable be defined in a neighborhood of a point z sub 0 by means of its Taylor series at z sub 0. A constructive method is discussed for the solution of the following problem: Suppose it is known that the function f can be continued analytically into a domain of the complex plane. It is desired to compute the value of f at an arbitrary point b in . By a constructive method (or ''algorithm'') for solving a problem in numerical analysis is meant a sequence of rational functions of the data of the problem which converge to the desired mathematical object.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1963
Accession Number
AD0424388

Entities

People

  • Peter Henrici

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Boundary Value Problems
  • Coefficients
  • Complex Variables
  • Computations
  • Convergence
  • Difference Equations
  • Differential Equations
  • Equations
  • Government Procurement
  • Mathematics
  • Numerical Analysis
  • Power Series
  • Rational Functions
  • Theorems

Fields of Study

  • Mathematics
  • Philosophy

Readers

  • Artificial Intelligence
  • Control Systems Engineering.