Binomial sums involving harmonic numbers
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Authors
Genčev, Marian
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Publisher
Springer
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Není ve fondu ÚK
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Abstract
This paper develops the approach to the evaluation of a class of infinite series that involve special products of binomial type, generalized harmonic numbers of order 1 and rational functions. We give new summation results for certain infinite series of non-hypergeometric type. New formulas for the number π are included.
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Subject(s)
summation methods, infinite series, generalized harmonic numbers
Citation
Mathematica Slovaca. 2011, vol. 60, no. 2, p. 215-226.