Accession Number:
AD0423898
Title:
A NOTE ON BESSEL FUNCTIONS AND CONTINUED FRACTIONS
Descriptive Note:
Corporate Author:
NAVAL ORDNANCE LAB WHITE OAK MD
Personal Author(s):
Report Date:
1963-12-01
Pagination or Media Count:
27.0
Abstract:
An identity, relating a certain infinite continued fraction to the ratio of two contiguous Bessel functions, is exploited to derive the representation of a single Bessel function in terms of a series of products of continued fractions. This representation is made the basis of a new method for computing numerically Bessel functions of the first kind. The method is seen to be especially valuable in computing Bessel functions of order much larger tan unity.
Descriptors:
Subject Categories:
- Numerical Mathematics