
Finding a sum
Posted:
Jul 20, 2012 3:57 AM


I feel the sum below should have a closed form. Am I wrong? A direct attack does not work. However, by experimenting I can sum a row but I can't sum all the rows. Any ideas? Thanks.
Sum[1/(x + I y  (n + I m)), {n, Infinity, Infinity}, {m, Infinity,Infinity}]
Srow = 1/(x + I y) + Sum[1/(x + I y  (n + I m)) + 1/(x + I y  (n + I m)), {n, 1 , Infinity}]
Sum[Srow + (Srow /. m > m), {m, 1, Infinity}]

