1Test of K(X,ALPHA) vs Multiplication Theorem


   1999 Random arguments were tested from the interval ( 0.00, 1.00)


 K(X,ALPHA) was larger   782 times,
                agreed   541 times, and
           was smaller   676 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.7068E-06 =    2 ** -20.43
    occurred for X = 0.954834E+00, NU = 0.562112E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   3.57


 The root mean square relative error was     0.1384E-06 =    2 ** -22.78
 The estimated loss of base   2 significant digits is   1.22


1Test of K(X,ALPHA) vs Multiplication Theorem


   2000 Random arguments were tested from the interval ( 1.00,10.00)


 K(X,ALPHA) was larger   760 times,
                agreed   534 times, and
           was smaller   706 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.4696E-06 =    2 ** -21.02
    occurred for X = 0.341923E+01, NU = 0.890735E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   2.98


 The root mean square relative error was     0.1301E-06 =    2 ** -22.87
 The estimated loss of base   2 significant digits is   1.13


1Test of K(X,ALPHA) vs Multiplication Theorem


   2000 Random arguments were tested from the interval (10.00,20.00)


 K(X,ALPHA) was larger   759 times,
                agreed   511 times, and
           was smaller   730 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum absolute error of     0.4613E-06 =    2 ** -21.05
    occurred for X = 0.169395E+02, NU = 0.686702E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   2.95


 The root mean square absolute error was     0.1268E-06 =    2 ** -22.91
 The estimated loss of base   2 significant digits is   1.09


1Check of Error Returns


 The following summarizes calls with indicated parameters

 NCALC different from MB indicates some form of error

 See documentation for RKBESL for details

       ARG            ALPHA      MB   IZ       RES      NCALC


 -0.1000000E+01  0.5000000E+00    5    2  0.0000000E+00   -2


  0.1000000E+01  0.1500000E+01    5    2  0.0000000E+00   -2


  0.1000000E+01  0.5000000E+00   -5    2  0.0000000E+00   -7


  0.1000000E+01  0.5000000E+00    5    5  0.0000000E+00   -2


  0.1175494E-37  0.0000000E+00    2    2  0.8745248E+02    2


  0.9996547E-10  0.0000000E+00   20    2  0.2314213E+02    4


  0.1000345E-09  0.0000000E+00   20    2  0.2314144E+02    4


  0.8000398E+02  0.0000000E+00    2    1  0.2515021E-35    2


  0.8533758E+02  0.0000000E+00    2    1  0.0000000E+00   -2


  0.8388608E+08  0.0000000E+00    2    2  0.1368406E-03    2


  0.3402823E+39  0.0000000E+00    2    2  0.6794230E-19    2


