( 564 ) 
Owing to its feeble convergency, this expression is of no practical 
use for values of z greater than 3. 
In SenvömiLcH’s Compendium, 2te Aufl. p. 261 in the chapter 
“Unvollstandige Gammafunctionen” the way is indicated to trans- 
form this expression into a much stronger converging series: 
Ue p a, 
Wf eer op dx = 1 — ~| ae — — {1 — = 
met! a En (eFD)(e2) 
0 
where, in our case, A=1—p=0.7778 and 
22 282=0,7778 a, = A+ A= 1.2484 
B =d == 06050 a,— att 42° —2= 2.0082 
a, = AP -+ 104° — 52? + 82 = 8.1881. 
The results of this investigation are summarized in Table Vi. 
TABLE VI. 
pn 
Calc. series | cric | Seen 
Observ. ed | Calc. 
AB, | AB | Total | VP res | aype 
1 36 || 292.7; 74.9 | 3076 | 321.9 EIER he: 
2 599 545.4 67.5 | 612.9 || 581.3 A || ie 
3 «77 758.9 13 772.3 || 746.5 | 24 
4 855 || 879.7 | —24.3 | 955.4 848.2 0 7 
5 0 || 941.0 | —36.4 | 904.6 || 909.8 5 0 
6 * 94 || 973.1 | —33.2 | 939.9 || 9467 | san 
7 965 | 987.7 | —24.8 | 962.9 | 968.6 | 2 | —4 
B os || 9045 | 465 | 9780 | ete || 3 | —4 
9 989 || 907.5 | —10.4 | 987.4 || 989.2 | pam ee 
10 992 g98:9°.| .— 5-07") “Geum |i), 998.7 || ta ee 
11996 909.5 | —3.3 | 996.2 996.3 | 0: oh eae 
12 997 || 999.8 | 4778 DB De 0070 = ae 
13 998 990°9 | .0.93 | 999.0. | 9988, ||, ua nl emt 
14 999 || 999.96) — 0.48 | 999.48 | $99.98 | ies 0 
15 1000 || 999.98 | eh a 999.74 | 999.58 | 0 0 
| 
