A New Special Function and Its Application in Probability

Table 2

Reasonable approximation using bounds.

k	approximation	exact
1	0.22870436048	0.22959937502
2	0.08960938943	0.08997882179
3	0.04400808083	0.04418398568
4	0.02389675159	0.02398719298
5	0.01374034121	0.01378897319
6	0.00819869354	0.00822557475
7	0.00502074798	0.00503586007
8	0.00313428854	0.00314286515
9	0.00198581489	0.00199069974
10	0.00127304507	0.00127582211