Table 7 Complex gamma of real negative and imaginary numbers
From: Factorials of real negative and imaginary numbers - A new perspective
Complex gamma of (-z) | ||||
|---|---|---|---|---|
z | Real | Imaginary | Modulus | Im/Re |
0.05 | -19.230 | -3.045i | 19.470 | 0.158 |
0.25 | -2.563 | -2.563i | 3.625 | 1 |
0.5 | 0 | -1.772i | 1.772 | Comp Inf |
0.75 | 0.866 | -0.866i | 1.225 | -1 |
1 | 1 | 0 | 1 | 0 |
Complex gamma of ( iz ) | ||||
z | Real | Imaginary | Modulus | Im/Re |
0.05 | 1.527 | -19.410i | 19.470 | -12.706 |
0.25 | 1.387 | -3.349i | 3.625 | -2.414 |
0.5 | 1.253 | -1.253i | 1.772 | -1 |
0.75 | 1.132 | -0.468i | 1.225 | -0.414 |
1 | 1 | 0 | 1 | 0 |
Complex gamma of (- iz ) | ||||
z | Real | Imaginary | Modulus | Im/Re |
0.05 | 19.410 | 1.527i | 19.470 | 12.706 |
0.25 | 3.349 | 1.387i | 3.625 | 2.414 |
0.5 | 1.253 | 1.253i | 1.772 | 1 |
0.75 | 0.468 | 1.132i | 1.225 | 0.414 |
1 | 0 | i | 1 | Comp Inf |