A nested sum over two variables. Identities involving double sums include the following:
(1) |
(2) |
(3) |
Consider the sum
(4) |
(5) | |||
(6) | |||
(7) |
(8) |
See also Euler Sum
References
Glasser, M. L. and Zucker, I. J. ``Lattice Sums in Theoretical Chemistry.'' Theoretical Chemistry: Advances and Perspectives, Vol. 5.
New York: Academic Press, 1980.
Zucker, I. J. and Robertson, M. M. ``A Systematic Approach to the Evaluation of
.'' J. Phys. A: Math. Gen. 9, 1215-1225, 1976.
© 1996-9 Eric W. Weisstein