03/16/2011, 02:35 AM
Hey James, unfortunately my functions don't meet your requirement :-(
x {1.5} 2 != x {0.5} x, here are some random examples for x = 2,3,4,11,134
> ./sesqui 2 1.5 2
4.000000000
> ./sesqui 2 0.5 2
4.000000000
> ./sesqui 3 1.5 2
7.310586452
> ./sesqui 3 0.5 3
7.424041271
> ./sesqui 4 1.5 2
11.173642159
> ./sesqui 4 0.5 4
11.654329300
> ./sesqui 11 1.5 2
49.238006592
> ./sesqui 11 0.5 11
61.141593933
> ./sesqui 134 1.5 2
1893.553344727
> ./sesqui 134 0.5 134
5044.535156250
Though I admit I don't totally see why your identity is required, it seems to be by analogy with the gamma extension to the factorial. Could you explain it in simple terms? Thanks!
x {1.5} 2 != x {0.5} x, here are some random examples for x = 2,3,4,11,134
> ./sesqui 2 1.5 2
4.000000000
> ./sesqui 2 0.5 2
4.000000000
> ./sesqui 3 1.5 2
7.310586452
> ./sesqui 3 0.5 3
7.424041271
> ./sesqui 4 1.5 2
11.173642159
> ./sesqui 4 0.5 4
11.654329300
> ./sesqui 11 1.5 2
49.238006592
> ./sesqui 11 0.5 11
61.141593933
> ./sesqui 134 1.5 2
1893.553344727
> ./sesqui 134 0.5 134
5044.535156250
Though I admit I don't totally see why your identity is required, it seems to be by analogy with the gamma extension to the factorial. Could you explain it in simple terms? Thanks!
