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


   2000 Random arguments were tested from the interval ( 0.00, 1.00)


 K(X,ALPHA) was larger   412 times,
                agreed   537 times, and
           was smaller  1051 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.1541E-14 =    2 ** -49.20
    occurred for X = 0.871655E+00, NU = 0.561042E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   3.80


 The root mean square relative error was     0.2692E-15 =    2 ** -51.72
 The estimated loss of base   2 significant digits is   1.28


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   497 times,
                agreed   511 times, and
           was smaller   992 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.7947E-15 =    2 ** -50.16
    occurred for X = 0.677402E+01, NU = 0.353854E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   2.84


 The root mean square relative error was     0.2441E-15 =    2 ** -51.86
 The estimated loss of base   2 significant digits is   1.14


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   484 times,
                agreed   456 times, and
           was smaller  1060 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum absolute error of     0.8381E-15 =    2 ** -50.08
    occurred for X = 0.140953E+02, NU = 0.534297E+00 and IZE = 1
 The estimated loss of base   2 significant digits is   2.92


 The root mean square absolute error was     0.2529E-15 =    2 ** -51.81
 The estimated loss of base   2 significant digits is   1.19


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


  0.2225074-307  0.0000000E+00    2    2  0.7085124E+03    2


  0.1000000E-09  0.0000000E+00   20    2  0.2314178E+02   20


  0.1000000E-09  0.0000000E+00   20    2  0.2314178E+02   20


  0.6612588E+03  0.0000000E+00    2    1  0.3211860-288    2


  0.7053427E+03  0.0000000E+00    2    1  0.0000000E+00   -2


  0.4503600E+17  0.0000000E+00    2    2  0.5905818E-08    2


  0.1797693+309  0.0000000E+00    2    2  0.9347644-154    2


