Analysis and Computation of the Derivative Function for an Isolated Lorentz Line.

Abstract

Analysis and methods of computation of the function y(x, rho) = (2/pi) integral from 0 to infinity of (exp<-2x/(1+<rho - square><z - square>)>) dz/(1+z - squared) are presented. Power series, asymptotic series, and other expansions are developed for six regions of the positive quadrant of the x rho plane. These expansions allow efficient calculation of y(x, rho) to a relative accuracy of 0.01% or better. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 20, 1979
Accession Number
ADA067226

Entities

People

  • Stephen J. Young

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Sensors
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Asymptotic Series
  • Bessel Functions
  • Chemical Reactions
  • Chemistry
  • Coefficients
  • Computations
  • Corporations
  • Cosmic Rays
  • Equations
  • Gas Lasers
  • Materials
  • Numbers
  • Physics
  • Physics Laboratories
  • Power Series

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra