INFINITE SERIES 



Applying the transformation again, with: 



_ i 2m + i . 4m 2 + i 



"m ' , A m = - - - , (X = O 



2 2m - i 4w 2 - i 



00 



9 T 



Applying the transformation again, with: 



3 



_ x 



"22^-3' Awi -^' = > 



Example 3. 



( 2 m - i) 2 ' 



. 2m i ^ 4m 2 4w + i 



"m = 7 \> A TO = -, r ~, - r, d = Q 



2(2m- 3)' (2m- 3) (2m + i)' 



C _ , / \ m - 



4 ^ 



6 : ( 2 w - i) (2m + 3) (2f + i) 



6.23 Leclert's modification of Rummer's transformation. With the same 

 notation as in 6.22 and, 



Limit ^ 



_ A = co, 



a 



n=o 



Example i. 



. \ *f"*' 



O, A m = I, CO = 2, a = O, \ m = ^ + ^ 



m(2m + i) (w 



