FORTRAN Subroutines to Evaluate, in Single or Double Precision, Bessel Functions of the First and Second Kinds for Complex Arguments.

Abstract

Subroutines have been written in FORTRAN for the CDC 3600/3800 to evaluate Bessel functions of the first and second kinds for complex arguments. These routines will compute (J sub n)(x + iy) and (Y sub n)(x + iy), where x < or = 0, y > or = 0, and i = the square root of (-1). Using the identity 2/(pi(x + iy)) = J sub(n+1)(x + iy)(Y sub n)(x + iy) - (J sub n)(x + iy)(Y sub(n+1)(x + iy)) as a check, the single-precision version will generate results that are accurate to eight figures or more for arguments equal to (plus or minus 20.0 plus or minus 20.0i) and the double-precision version will generate results that are accurate for seven figures or more for arguments equal to (plus or minus 100.0 plus or minus 20.0i).

Document Details

Document Type
Technical Report
Publication Date
Apr 27, 1976
Accession Number
ADA024384

Entities

People

  • Janet P. Mason
  • Lawrence Flax

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Identities
  • Mathematics
  • Precision
  • Procedures (Computers)
  • Square Roots

Readers

  • Computer Science.
  • Mycotoxin ecology in Amazonian ecosystems.
  • Statistical inference.