On a new general method of summation

Details On a new general method of summation On a new general method of summation

2011-05-11

arxiv.org/abs/1105.2787v2

Mathematics

Classical Analysis and ODEs

32 pages, amsart style; misprints corrected; in section 4, added propositions 4.14, 4.32 and remark 4.16 concerning Bernoulli

Scientific paper

A new general and unified method of summation, which is both regular and
consistent, is invented. It is based on the idea concerning a way of integers
reordering. The resulting theory includes a number of explicit and closed form
summation formulas, and assigns limits to certain unbounded or oscillating
functions. Some problems and future lines of research are briefly discussed.

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