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

摘要

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, 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).