MORE ZEROS OF BESSEL FUNCTION CROSS PRODUCTS.
Abstract
The report contains tables of the first five roots of the following transcendental equations: (a) J sub 0 (alpha) Y sub 0 (kalpha) = Y sub 0 (alpha) J sub 0 (k alpha); (b) J sub 1 (alpha) Y sub 1 (k alpha) = Y sub 1 (alpha) J sub 1 (k alpha); (c) J sub 0 (alpha) Y sub 1 (k alpha) = Y sub 0 (alpha) J sub 1 (k alpha) where J sub 0 (alpha), Y sub 0 (alpha), J sub 1 (alpha), Y sub 1 (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. However, because of symmetry, it is sufficient in the first two cases to tabulate the roots only for 0 < k < 1. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1968
- Accession Number
- AD0685235
Entities
People
- Henry E. Fettis
- James C. Caslin
Organizations
- Air Force Research Laboratory