324 PROFESSOR KELLAND ON THE THEORETICAL INVESTIGATION OF 



f _ ]\ r 



= (, r+ i)8 x coefficient of x r in the expansion of (1 + *) 



(2r + 2)(2r + l).. . . (r + 8) 

 1-2 .......... r 



(-I) 



A/r + 2 



/r/r + 2 



0-4.0 



2r 



2.4.6...(2r + 2) /r /r- 



= 4 2 (-l) r l.3...(2r + l) 



2.4...(2r + 



/OD 

 27T J rfj N 2 



27T 



_ 

 -7TC/ D o 2.4...(2r + 2) /r/r+2 



_2Tra 2 c 2 \ a 6 2 />* .r 1 . 3 . . . (2 r + 1) m?r+i 



~~D* Jo " lj 2.4...(2r + 2)/777+ 



-n-o 2 c 2 \ 2 6 2 r 1.3... (2 r + 1) OT 2 ^ + 2 



D 2 2.4...(2r + 2) /r + 1 /r+2' 



the smallest value of r being 0. 



xr .- "y * . 



Now =2( 1) 





beginning with r = 0. 



Hence thatpart of y*~ ^" e~^ which does not contain -V is 



(/ z* m t z* mi 



/m + 7T72 + /2/3 



