230 PROFESSOR A. G. GREENHILL ON THE 



I 



(fc_l)(^-2-6 i -/> 3 + ^+0 + l)-(^+lH^-3^+36 3 -6+l) v /B 



~2b\ (& 2 + />Tl) 



E = (/>- + fc + 1 ) (/> 2 - 36 + I ) (5), 



(/,_ i) r(/, -4+3+3-2-3+2+2 -- 1 ) v /(/r + ?,+ 1) 



a; 



M 2 



,,,_ 

 ~M :! 



<(/,!-' _ f, + J + 1 - 10 - G + 1 2 + - 9- 5 + 4 + 2 - 1) v/(/r + k + 1) 



(7), 



M 

 Diiferentiating (2) and equating coefficients of/ we find 



H,= -i(i5P + Q) 



_ (6- 1)(- :!//+ 7 + 2 - 1 - 5 + + ^) + (~ '^ r ' + 7 -1-3 + + 2) X /B , () , . 



26 ;5 v / (/> 2 + I, + 1) 



HO- -iI! + i(i5P-:;Q)H 



_(b-l) (M, + N. X /B) 

 2//(/^ + /, + i) 



M., (5/> 1:! + 3:3 49 + + 8 + f)8 22 3!) + -f 24 + 4 8 1 + 1, 



N, = - M" +27 28-13 + 9 + 28-7 18 + 1 + 7 + 1 (10): 



M, = 4// !) - 3 I + 80 - 6 L - 21 - 54 + 1 a!) + 16- 113 - 85 



+ 97 + 90 41 64 + 7 + 29 + 2 8 1 +1, 



N, = + 4// 7 27 + 57 23 33 34 + 84 + 30 65 46 



+ 42 + 40+15-21+3 + 7 + 0-1 (11); 



H| = (^--l) : MM,. + N 4 v/B) 



M + - 5// 23 - 49 + 175 - 247 + 48 + 8 + 408 - 380 - 435 + 93 + 684 



+ 48 - 576 - 234 + 350 + 252 - 124 150 + 18 + 54 + 3 - 1 1 - 1 + 1, 



N t = 5?; 21 44 + 136 - 145 - 39 + 28 + 303 145 325 19 



-f- 362 + 69 267 120 + 131 + 93 38 41 + 5 + 10 + 1 (12) ; 



