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NOTES ON FORMAL MANIPULATIONS OF DOUBLE SERIES
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 Title & Authors
NOTES ON FORMAL MANIPULATIONS OF DOUBLE SERIES
Choi, June-Sang;
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 Abstract
Formal manipulations of double series are useful in getting some other identities from given ones and evaluating certain summations, involving double series. The main object of this note is to summarize rather useful double series manipulations scattered in the literature and give their generalized formulas, for convenience and easier reference in their future use. An application of such manipulations to an evaluation for Euler sums (in itself, interesting), among other things, will also be presented to show usefulness of such manipulative techniques.
 Keywords
double series manipulations;Riemann Zeta function;generalized harmonic numbers;harmonic numbers;Euler sums;
 Language
English
 Cited by
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ON A HYPERGEOMETRIC SUMMATION THEOREM DUE TO QURESHI ET AL., Communications of the Korean Mathematical Society, 2013, 28, 3, 527  crossref(new windwow)
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9.
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