ig_gen is the function itself, and ig_geninv is
its inverse; ig_D1gen is the first-argument
derivative.
| 1 2 3 4 5 | 
| t | Vector of values >=1 to evaluate the function at. | 
| eta | Value of second argument of H_k, >0. This is allowed
to be a vector, except in  | 
| k | Single numeric >1 corresponding to the  | 
| w | Vector of values in [0,1] to evaluate the inverse function at. | 
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