264 EEV. T. P. KIEKMAJS" THE K-PAETITIOXS OE THE E-G-ON AKD E-ACE. 
(A'".) 
Problem e. To find k)^ (XXXIV., XXXV.), 
7*— w-f-2A(2 -|-2cfQ) -}-47i^<Z2 -j-2^^264j^-}-l 
JC — n-\-^hi^ -j-IA/gj ~f~^2 H" • • ~l~ I 
\ 44 / 4A -* 
H= 2 ,( 2 R” "«( 4 + 2 c«., £.)+K"“»'‘( 44 - 2 a., s,)), 
M= 2 ,E~ *”/ 3 + 2 a», M, 
\ 44 44/ 
Jc),, (7>0) 
nr^'^Xr, k),=0, 
Problem f. To find R^“^(r, (XXXVI., XXXVIII.), 
r=n-\-2Ii 
^ = “ 1“^2 “I" • •“]" 
R^(r, ^)„=ipA^£( 7 > 0 )- 2 ,( 2 R^('+>’“^( 7 ’, ^)„+R|?-“^(r, ^)„+R^''^'''(n ^%)|, 
Rr^ (r, £^)„=Rf“^(r, A:)„= 0 , 
Rr-(r, /l:)„=i|D(|^, ^ ™ "" ' — 
(B.) 
n n 
2 R™ " -j” 
n n 
Problem g. To find Rf:^(r, k), (XXXVII., XXXVIII.), 
T . . -f- 0 ^-24 ^ '|^ 
Ic—n—Ji — liZQ -\- 2 ih( 6 i ~'l ~^2 ~b • • -p ^ n- 2 h jj 
H= 2 ,„{ 2 R-“^( 4 + 2 ao, g+R^-^'^^-( 4 -f 2 a„, go)} 
R|f(r, 7 ;),==:S(H.A„_^ 4 )-S,Rfr^’'^-^(r, k)„, (i> 0 ), 
R^“^(r, k)„=0, 
R|: • “^(r, k)^= S,„|(2R’"“^-f E2’"“^*) j., 
Problem h. To find RJ“^(r, k), (XXXIX. XL.), 
64 B— 2 A )+ 4 .( 2 + 2 o>.),| 
]c—n-\-liZQ -t- 2 A/gi-j-^ 2 d~ ••H~^"- 24 \-b//gn ; | 
\ 24 / 24 '' 
H=S,„{2R»“^(4+2ao, e«)+R^”‘“"‘''(4+2a„, go)}, 
H'=2:„,j2R-“V4H-2a„, gA+R^'”«^‘'Y4+2an, ^ 5 
I \ 24 24/ \ 24 24/ J 
(B'.) 
(B".) 
R^ (r, /?:)„=i{2( 
H.H'.An- 
.^)-S,^2Ro^t‘+>’'^(r, ^)„+R|,«‘^^(r, ^)„-l-Rf“^‘^(r, ^')»+R‘f''"‘"(^ 
