ON A BESSEL FUNCTION INTEGRAL,

Abstract

In the course of continuing investigations on the propagation of electromagnetic pulses, it became necessary to evaluate an integral involving exponential and Bessel functions. It was found that this integral had been evaluated incorrectly in the literature, and the error has been perpetuated for nearly 30 years. This memorandum evaluates the integral correctly, and shows that although the incorrect result had been expressed entirely in terms of algebraic and logarithmic functions, the correct result is considerably more complicated, and involves incomplete gamma functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0642272

Entities

People

  • William Sollfrey

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Complex Variables
  • Electromagnetic Pulses
  • Functions (Mathematics)
  • Integrals
  • Literature
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Educational Psychology