Neumann Functions Gr n (/c) and Y„ («//). 

 Table I. {continued). 



661 



.r. 



G (a-). 



QJA 



x. 



<*o(*). 



<*i(*). 



101 



- 0-0481436 



- 3940261 



131 



+ 0-0894179 



+ 0-3380535 



10-2 



- 0-0087733 



- 0-3929909 



132 



+ 0-0553523 



+ 0-3427052 



10-3 



+ 0-0303139 



- 0-3880964 



133 



+ 00209911 



+ 0-3439302 



10-4 



+ 0-0687201 



- 0-3794266 



13-4 



- 00132827 



+ 3417416 



10-5 



4- 0-1060764 



- 0-3671018 



13-5 



- 00472449 



+ 0-3361S63 



10-6 



4- 0-1420237 



- 0-3512762 



136 



- 0804483 



+ 0-3273439 



10-7 



4- 01762211 



-0-3321368 



137 



-0-1126076 



+ 3153250 



10-8 



4- 0-2083479 



- 0-3099008 



13-8 



-0-1434122 



+ 0-3002710 



10-9 



4- 0-2381063 



- 0-2848144 



139 



- 01725664 



+ 2823520 



110 



4- 0-2652257 



- 0-2571470 



14* J 



- 0-1997937 



+ 2617651 



11-1 



+ 0-2894597 



- 0-2271953 



14 1 



- 0-2248377 



+ 0-2387317 



11-2 



4- 03105979 



- 0-1952699 



1 142 



- 0-2474666 



+ 0-2134960 



113 



4- 0-3284589 



- 0-1617012 



14 3 



- 0-2674724 



+ 0-1863226 



11-4 



4- 0-3428950 



- 0-1268323 



1 14-4 



- 2846758 



+ 0-1574914 



11-5 



+ 3537937 



- 0-0910159 



i 14-5 



- 0-2989253 



+ 0- 1273006 



11-6 



-f 0-3610784 



-00546110 



1 14-6 



- 0-3101008 



+ 0-0960550 



11-7 



4- 0-3647084 



-0 0179793 



; 14-7 



-0-3181120 



+ 0-0640708 



11-8 



+ 03646789 



+ 0-0185178 



! 14-8 



- 0-3229008 



+ 0-0316683 



11-9 



4- 0-3610210 



+ 0-0545247 



149 



- 0-3244424 



- 00008300 



12 



4- 0-3538020 



+ 0-0896913 



150 



- 0-3227425 



- 00331024 



12-1 



4- 03431221 



+ 0-1236796 



151 



-03178400 



- 00648324 



122 



+ 0-3291161 



+ 0-1561661 



15-2 



- 0-3098044 



- 00957 100 



123 



+ 0-3119493 



+ 0-1868435 



15-3 



- 0-2987362 



- 01254361 



12-4 



+ 0-2918171 



+ 0-2154260 



15-4 



- 0-2847652 



. - 0- 1537247 



12o 



+ 0-2689428 



+ 0-2416485 



15-5 



- 0-2680484 



- 0-1803057 



126 



+ 0-2435740 



+ 0-2652730 



156 



- 0-2487694 



- 0-2049274 



12-7 



+ 0-2159819 



+ 0-2860869 



15-7 



- 0-22713"»8 



- 0-2273590 



12-8 



+ 0-1864566 



+ 0-3039080 



15-8 



- 0-2033775 



- 0-2473930 



129 



+ 0-1553051 



+ 0-3185840 



15-9 



- 0- 17774 34 



- 0-2648464 



130 



+ 0-1228486 



+ 0-3299950 



16-0 



- 0-1504996 



- 0-2795630 



(B.) 



From the simple relation between the G, J, and Y 

 functions, viz. 



Y„(^) = (log2- 7 )J„(. t 0-G„(. ! ,-), 



the values of the Neumann functions Y (#) and Y\{x) are 

 readily obtained. Tables of the functions were calculated to 

 four places of decimals by Smith with a possible error of two 

 in the last figure *. 



For interpolation purposes, formula? similar to those for 

 G (cT) and Gi(o?) may be used. 



* Smith, Messenger of Mathematics, 1897. 

 Phil, Mag. S. 6. Vol. 22. No. 130. Oct. 1911. 2 X 



