Relations among Sums of Reciprocal Powers—Part II | Zendy

José M. Amigó | Zendy

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Relations among Sums of Reciprocal Powers—Part II

Author(s) -

José M. Amigó

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/421478

Subject(s) - reciprocal , mathematics , simple (philosophy) , sums of powers , series (stratigraphy) , pure mathematics , algebra over a field , discrete mathematics , paleontology , philosophy , linguistics , epistemology , biology

Some formulas relating the classical sums of reciprocal powersare derived in a compact way by using generating functions. These relationscan be conveniently written by means of certain numbers which satisfysimple summation formulas. The properties of the generating functions canbe further used to easily calculate several series involving the classical sumsof reciprocal powers

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