Entire Solutions of the Functional Equation from Percus-Yevick and Gelfand-Levitan Integral Equations.

Abstract

In this report, the authors present and discuss the most general entire-function solutions to the functional equations of the form (psi squared)(z) + p(z)(phi squared)(z) = q(z), where z is a complex variable and p(z) and q(z) are given polynomials. These equations are derived from integral equations such as the Percus-Yevick and Gel'fand-Levitan integral equations. The method is based on the theory of functions of one complex variable.

Document Details

Document Type
Technical Report
Publication Date
Sep 10, 1975
Accession Number
ADA015304

Entities

People

  • Charles Osgood
  • Chung-chun Yang
  • Fred Gross
  • Saeyoung Ahn

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Auditory Neuroscience/Auditory Physiology.
  • Fluid Dynamics.
  • Marine Propulsion Engineering and Naval Architecture