292 REPORTS ON THE STATE OF SCIENCE, ETC. 
where s,;=Kk 
[come | | 
are 
kK we 
io °3 
Ko p> ak 
$,= ——_—+ =. ete. 
= 9494 ' 79 
4y Fy(v) Fav) | Fw) F_y,a(y) 
0 60 1000000 co co 
1 2-299108 0-869189 1-323320 : 4-725067 
2 1-889991 : 0-817059: =| 0817059 : 1-889991 ; 
3 |  1-677630: 0-781670 | 0590469 | 1-101069 
4 |  1-548758 | 0-754610 | 0-451242 | 0754610 
5 1-437873 : 0-732641 | 0377600 0-566189:; 
6 1-359567 | 0-714131: =| — 0-319299 | 0449854 
7 1292436 | 0-693696 | 0-285219: | 0871698: — | 
8 1:243478 0-684060 |  0-243478 0-315940 
9 , 1-198512 | 0-671492: —||_——(0-217500 | 0-274327 : 
10 | ‘1159994 0-660545 | 0-196682 : 0-242332 
11 1125211 0-649803: | 0-179120: =| 0216627: 
12 | 1094702 | ° 0640316: || 0-164557: =| —-0-195872 
13. | 1.067289 ; 0-631550 | 0-152172 0-178688 
| 14 | = 1-042462; 0-623419 |  0-141457 0-164277 : 
yd 1-019839 : 0-615799 | 0-132221: |  0+151932 
| 16 |  0-999076 0-608678 | 0-124076 0-141322 
17 0-979924 : 0601976: | ~——-0-116872 : 0-132082 : 
18 0-962179 0-595652: || —0-110455 0-123968 : 
19 0-945664 : 0-589666: | 0104703 : 0-116787 
20 0-930242 0-583986: | — 0-099518 0-110386 : 
21 0-915788 0:578584 | 0-094820 : 0-104647 ; 
22 0-902200 : 0:573434 | 0090545 0-099472 
23 0-889393 : 0-568548 | 0-086637 0-094782 : 
24 0-877290 0-563808 0-083051 : 0-090513 | 
25 | —0-865826 0-559296 0-079750 0-086610 : 
26 | 0-854943: | 0-554965 : 0-076700 : 0-083029 : 
hae 0-844593 | 0-550802 | 0073875 0:079731 
| 28 | 0834730: | 0-546794 0-071250 | 0-076684 
| 29 | 0825317 | 0-542930 : 0-068804: | 0073861 
30 0-816317 : 0-539204 0-066521 0-071237 : 
31 | 0807701 0:535604 0-064384 — 0-068793 : 
32 | 0-799440: | 0-532121 0-062380 | 0066511 ; 
33 0-791510 | 0528751 0-060496 : 0-064375 : 
34 | 0783887 : 0-525486 0-058723 |  0:062372 ; 
35.) 0776552 0-522320 0-057050: | — 0-060490 
36 «0769486 0-519248 0-055471 0-058717 : 
37 | 0762672 : 0-516264 ; 0-053976 0:057045: 
38 0-756095 | 0:513364: |  0-052559: 0-055466 | 
39 0-749741 0-510544: =, =: 0-051215: 0-053972 ) 
40 |  0-743596 | 0-507800 _ -0:049938 0:052555: | 
(C). The Lommel-Weber Q function, defined by the integral 
Bale fm) .: 
Qy@) = =| _ in (vo — 2 sin 9) do, 
when the order and argument are equal or differ by unity occurs in the problem of 
the electro-magnetic waves on a thin anchor ring. In addition to the Royal Society 
a 
