http://worldcat.org/entity/work/id/1909365699

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

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).

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