Pairs of Cauchy Singular Integral Equations and the Kernel (b(z) + a(zeta))/(z-zeta).

Abstract

The report presents closed formulas for the solution of a(zeta) the integral over L of ((phi sub 1)zdz/(z-zeta)) + the integral over L of (b(z)(phi sub 1)zdz/(z-zeta)) = (f sub 1) zeta provided the coefficients satisfy (s(zeta)-a(zeta))(s(zeta)-b(zeta))=(((zeta-alpha)(zeta-beta)) to the power kappa)(t squared)zeta where s (zeta) and t(zeta) are rational functions and kappa is either zero or one. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0727593

Entities

People

  • Arthus S. Peters

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Rational Functions

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis