REPORTS ON THE STATE OF SCIENCE.—1913. 
Neumann Functions—continued, 
Go!r) 
Go(x) G(x) ie exe reall Gi(z) 
—0-4248268 | -+0-0368134 9:09 | —0-3763619 | —0-1966875 
| —0-4251735 | +0-0325227 910 | —0-3743773 | —0-2002230 
| —0-4254772 | +0-0282338 9-11 | —0-3723575 | —0-2037348 
—0-4257381 | -+0-0239471 9-12 | —0-3703027 | —0-2072227 
—0-4259562 | -+0-0196631 9:13 | —0-3682131 | —0-2106863 
—0-4261314_ | +0-0153821 9:14 | —0-3660890 | —0-2141254 
—0-4262638 | +0-0111046 9:15 | —0-3639307 | —0-2175395 
—0-4263535 | +0-0068310 9:16 | —0-3617383 | —0-2209284 
—0-4264004 | -+-0-0025617 9:17 | —0-3595122 | —0-2242918 
—0-4264047 | —0-0017028 | 9-18 | —0-3572525 | —0-2276293 
—0-4263663 | —0-0059622 | 9-19 | —0-3549596 | —0-2309408 
—0-4262854 | —0-0102161 9-20 | —0-3526338 | —0-2342258 
—0-4261620 | —0-0144641 9-21 | —0-3502752 | —0-2374841 
—0-4259961 | —0-0187057 || 9-22 | —0-3478842 | —0-2407155 
|g —0-4257879 | —0-0229406 9-23 | —0-3454611 | —0-2439196 
. —0-4255373 | —0-0271683 9-24 | —0-3430059 | —0-2470961 
8-67 | —0-4252445 | —0-0313884 9-25 | —0-3405192 | —0-2502448 
8-68 | —0-4249096 | —0-0356006 9-26 | —0-3380011 | —0-2533653 
8-69 | —0-4245325 | —0-0398044 9-27 | —0-3354519 | —0-2564575 
8-70 | —0-4241135 | —0-0439995 9-28 | —0-3328720 | —0-2595210 
8-71 | —0-4236526 | —0-0481854 9-29 | —0-3302616 | —0-2625556 
8-72 | —0-4231498 | —0-0523618 9:30 | —0-3276210 | —0-2655609 
8-73 | —0-4226054 | —0-0565282 9-31 | —0-3249505 | —0-2685368 
8-74 | —0-4220193 | —0-0606842 9°32 | —0-3222504 | —0-2714829 
8:75 | —0-4213917 | —0-0648296 9-33  —0-3195210 | —0-2743991 
8-76 | —0-4207228 | —0-0689638 9-34 | —0-3167625 | —0-2772851 
8-77 | —0-4200125 | —0-0730865 9-35 | —0-3139754 | —0-2801405 
8-78 | —0-4192611 | —0-0771972 9:36 | —0-3111598 | —0-2829652 
8-79 | —0-4184687 | —0-0812957 9°37 | —0-3083161 | —0-2857590 
8-80 | —0-4176353 | —0-0853815 9°38 | —0-3054447 | —0-2885215 
8-81 | —0-4167611 | —0-0894542 9-39 | —0-3025458 | —0-2912526 
8-82 | —0-4158463 | —0-0935135 9-40 | —0-2996198 | —0-2939520 
8-83 | —0-4148909 | —0-0975590 9-41 | —0-2966669 | —0-2966195 
8:84 | —0-4138952 | —0-1015903 9-42 | —0-2936875 | —0-2992548 
8:85 | —0-4128593 | —0-1056070 9-43 | —0-2906819 | —0-3018578 
8-86 | —0-4117832 | —0-1096087 9-44 | —0-2876505 | —0-3044282 
8-87 | —0-4106671 | —0-1135951 9-45 | —0-2845935 | —0-3069658 
8-88 | —0-4095113 | —0-1175658 9-46 | —0-2815113 | —0-3094704 
8:89 | —0-4083159 | —0-1215204 9-47 | —0-2784042 | —0-3119417 
—0-4070810 | —0-1254586 9-48 | —0-2752726 | —0-3143796 
—0-4058068 | —0-1293800 9-49 | —0-2721167 | —0-3167839 
—0-4044935 | —0-1332842 9-50 | —0-2689370 | —0-3191543 
—0-4031412 | —0-1371709 9-51 | —0-2657337 | —0-3214907 
—0-4017501 | —0-1410397 9-52 | —0-2625073  —0-3237928 
—0-4003205 | —0-1448903 | 9:53 | —0-2592580 | —0-3260606 
—0-3988524 | —0-1487223 9°54  —0-2559862 | —0-3282937 
—0-3973461 | —0-1525353 9°55 | —0-2526923 | —0-3304920 
—0-3958017 | —0-1563290 9-56 | —0-2493765 | —0-3326554 
—0-3942195 | —0-1601031 9°57 | —0-2460393 | —0-3347836 
—0-3925997 | —0-1638571 9-58 | —0-2426810 | —0-3368764 
—0-3909424 | —0-1675908 9-59 | —0-2393019 | —0-3389338 
—0-3892479 | —0-1713038 9-60 | —0-2359024 | —0-3409556 
—0-3875164 | —0-1749958 9-61 | —0-2324829 | —0-3429415 
—0-3857481 | —0-1786664 9-62  —0-2290437 | —0-3448915 
—0-3839431 | —0-1823154 9-63 | —0-2255852 | —0-3468053 
| —0-3821018 | —0-1859423 9-64 | —0-2221077 | —0-3486829 
| —0-3802244 | —0-1895468 9-65 | —0-2186117 | —0-3505240 
—0-3783110 | —0-1931287 9-66 | —0-2150974 | —0°3523286 
