A NOTE ON BESSEL FUNCTIONS AND CONTINUED FRACTIONS

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0423898

Entities

People

  • J. H. Eberly

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Analytic Functions
  • Bessel Functions
  • Computations
  • Computers
  • Convergence
  • Digital Computers
  • Fluid Dynamics
  • Hypergeometric Functions
  • Identities
  • Infinite Series
  • Literature
  • Maryland
  • New York
  • Ordnance Laboratories
  • Statistical Mechanics
  • United States
  • Universities

Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Mathematics or Statistics
  • Theoretical Analysis.