AN EXTENDED TABLE OF ZEROS OF CROSS PRODUCTS OF BESSEL FUNCTIONS.

Abstract

The report contains tables of the first five roots of the following transcendental equations: (a) J0(alpha) Y0(alpha) = Y0(alpha) J0(alpha); (b) J1(alpha) Y1(alpha) = Y1(alpha) J1(alpha); (c) J0(alpha) Y1(alpha) = Y0(alpha) J1(alpha) where J0(alpha), Y0(alpha), J1(alpha), Y1(alpha) are Bessel functions of order 0 and 1 respectively. In these equations, alpha is the unknown and k is a parameter which may assume any positive value, other than 0 or 1. Additional tables are included listing an auxiliary quantity gamma which is better suited to interpolation particularly when k is close to unity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0637474

Entities

People

  • Henry E. Fettis
  • James C. Caslin

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Complex Variables
  • Equations
  • Interpolation
  • Mathematical Analysis
  • Mathematics

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  • Geochemistry
  • Linear Algebra
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