184 A. Mukliopadliyay— J/wwj/p's Differential Equation. [No. 2, 



where 



A-— — ^— — 



pr - 3g8 



Therefore 



But 



(l)'=0'+(l)'=(--'')-. 



(^s ds dx 2^i m 



tZar tZii; tZoj 

 drl/~ d<o' d\p' 

 and, as proved in my former paper,* we have 

 du) q 



and 



where 



so that 



Hence, finally, 



c7^_ (l+j?a)(3>7y-5rg) 



d^_r2+(7y-3j2)s 

 d+ " g(3gs-5r«) ' 



[^H(rj5-32»)^r 

 p = -i T. 



2(3g,9-5r3)S 



), vol. Ivii, pt. ii, pp. 31G— 332 ; of. p. 322. 



