Relations among Sums of Reciprocal Powers-Part II

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 t...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2008-01, Vol.2008 (1), p.391-410
Main Author: Jose Maria Amigo
Format: Article
Language:English
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Summary: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2008/421478