ON LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER. 
Group II 
4 n Lez w?— 1 
1 wr" x FG +a, atta, Rta; Ta ) 
Ps fm ll @ w?— 1 
2 Ww xF(-5 ps Eta; AE ) 
3 E(j+a, a5: 4 ; (1-w*)) 
Nh @ 1 3 
4 wxF(o +o +a, 9° b+a; (1-%)) 
Group III 
1 wrx F( Sa, t+ Sea, nta+l; 5) 
—n— a 1 
2 (1 — w2)} xF(14 9 54%, ntatl; :) 
-t—a 7% 1 1 
3. (1 -w?) * xE(S+a,544, n+atl; =) 
SUL epics 1 n nm 1 
4, w(1 — w?) 2 7 xF(Zt+$+e are n+a+1; a 
Group IV 
] wx F(-2, 5 >? L-n-a; 4) 
n+2q—1 2\}-a n 1 ee 
2. w (1 — w?) xF(1-4 a, 5-4 -a, 1-n-a; =) 
eee sea 
3 Nes SSG aap eae) l-w 
4 ww)? x R(o- 1-2 -a, 1-n-a Z ) 
) Die 2 2 1 —w? 
Group V 
I Ww: xE(5 +2 +a, ak, 8; uw?) 
2 w(1 — Le ae 14+, 3; w) 
1 n OF 
3 w(1—-w) ? (Stk es Lae ia) 
4 (1—w? B(4-& ee a) 
w 2) x BE 1G) b 5} A Oe | 
Group VI 
1. wht20-1(] — ay2)8-4 ye BF il (eee 3 _w-) 
. w (hai ix oe a ee Poa me 
aoe ze, 1 2] 
= 2. wi" (1 — w?)t eee 1+%, g-a;" 5") 
= Liven te 
3. (1 — w?)? Mois wa ee) 
4 (1 = v2)" x F (1 —— 1+, 3-4; (1- w?)) 
657 
(17) 
