Test Problem:

x=  0.00  to  50.00  in   5  steps 
   integration     bessj
    0.595236     0.597600
    1.404762     1.402300
   -0.000002     0.000000

x=  0.00  to  50.00  in  10  steps 
   integration     bessj
    0.598786     0.597600
    1.401212     1.402300
   -0.000001     0.000000

x=  0.00  to  50.00  in  15  steps 
   integration     bessj
    0.598904     0.597600
    1.401094     1.402300
   -0.000003     0.000000

x=  0.00  to  50.00  in  20  steps 
   integration     bessj
    0.596691     0.597600
    1.403307     1.402300
   -0.000002     0.000000

x=  0.00  to  50.00  in  25  steps 
   integration     bessj
    0.598163     0.597600
    1.401836     1.402300
   -0.000001     0.000000

x=  0.00  to  50.00  in  30  steps 
   integration     bessj
    0.598095     0.597600
    1.401902     1.402300
   -0.000002     0.000000

x=  0.00  to  50.00  in  35  steps 
   integration     bessj
    0.597135     0.597600
    1.402863     1.402300
   -0.000002     0.000000

x=  0.00  to  50.00  in  40  steps 
   integration     bessj
    0.597878     0.597600
    1.402120     1.402300
   -0.000001     0.000000

x=  0.00  to  50.00  in  45  steps 
   integration     bessj
    0.597978     0.597600
    1.402019     1.402300
   -0.000002     0.000000

x=  0.00  to  50.00  in  50  steps 
   integration     bessj
    0.597291     0.597600
    1.402707     1.402300
   -0.000002     0.000000