

310 U. NAGAOKA. 



Ditfcrciitiatiug with respect to ç, wc have 



_ J ] (I J i .s cos (<• E) !^ sin (r ç) 



Ç d Ç Ç Ç 



wliere .s staiids for ^l — c^ = sm a. 



Tliu.s tlie diitereiitial c'ljiiations ^^atisßc(l l)y A' ami L are res[)ect!vely 



d' K 1 d, K ,, s sill, fc c) 



a Ç Ç a Ç Ç 



1 d' Tj 1 (Z L ^ s cos (f ci 

 and -^^^ + T -. \- L = _' 



To find the expression for K a.nd L, assume a series proeeediii_ij,' 

 aceonhuy to ascendin,^' powers of |. Diffrreiitiating and pro[)er]y 

 chootfiiiL!' tlie eoiistauts, we easily Hud that 



+ ^ Vi- 



J' / r" (•■' c- 1 \ 



+ 



irs II + 1 /■ ,,2 II ..5 II - 2 



] 



where n stands for — (cs + a). 



