Beta Function

    w      z           actual            beta(w,z)
  1.00   1.00       1.000000e+00       1.000000e+00
  0.20   1.00       5.000000e+00       5.000000e+00
  1.00   0.20       5.000000e+00       5.000000e+00
  0.40   1.00       2.500000e+00       2.500000e+00
  1.00   0.40       2.500000e+00       2.500000e+00
  0.60   1.00       1.666667e+00       1.666667e+00
  0.80   1.00       1.250000e+00       1.250000e+00
  6.00   6.00       3.607504e-04       3.607504e-04
  6.00   5.00       7.936508e-04       7.936505e-04
  6.00   4.00       1.984127e-03       1.984127e-03
  6.00   3.00       5.952381e-03       5.952382e-03
  6.00   2.00       2.380950e-02       2.380952e-02
  7.00   7.00       8.325008e-05       8.325008e-05
  5.00   5.00       1.587302e-03       1.587302e-03
  4.00   4.00       7.142857e-03       7.142855e-03