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Summing of harmonic functions' series.

A. O. Syromyasov1

AnnotationFunctional series with harmonic general term tending to zero when the argument tends to infinity are considered, and the fast summation method for such series is proposed. As compared with direct summation, the method decreases the number of series' terms required for obtaining given accuracy on several orders. Numeric experiments confirm the method's convergence.
Keywordsfunctional series, improvement of convergence, harmonic function, multipole.

1Associate Professor of Mathematics and Theoretical Mechanics Chair, Mordovian State University named after N. P. Ogaryov, Saransk; syal1@yandex.ru.

Citation: A. O. Syromyasov, "[Summing of harmonic functions' series.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:2 (2013) 96–102 (In Russian)