THE CONVERGING FACTOR FOR THE MODIFIED BESSEL FUNCTION OF THE SECOND KIND.

Abstract

The converging factor for a specific mathematical function, such as the modified Bessel function of the second kind considered in this report, is that factor by which the last term of a truncated series (usually asymptotic) approximating the function must be multiplied to compensate for the omitted terms. This converging factor for the aforementioned Bessel function is discussed herein in detail and is shown to be related to the corresponding factor for the probability integral. Tables of this factor and its reduced derivatives, correct to 30 decimal places, are included to expedite the application of this procedure to the evaluation of this Bessel function to high precision for arguments between 5 and 20, and specific examples of such applications are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0704098

Entities

People

  • John W. Wrench Jr.

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Complex Variables
  • Integrals
  • Mathematics
  • Precision
  • Probability
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design