International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 421478, 20 pages
doi:10.1155/2008/421478
Abstract
Some formulas relating the classical sums of reciprocal powers
are derived in a compact way by using generating functions. These relations
can be conveniently written by means of certain numbers which satisfy
simple summation formulas. The properties of the generating functions can
be further used to easily calculate several series involving the classical sums
of reciprocal powers.