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Binomial sums involving harmonic numbers

In: Mathematica Slovaca, vol. 61, no. 2
Marian Genčev
Detaily:
Rok, strany: 2011, 215 - 226
Kľúčové slová:
summation methods, infinite series, generalized harmonic numbers
O článku:
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.
Ako citovať:
ISO 690:
Genčev, M. 2011. Binomial sums involving harmonic numbers. In Mathematica Slovaca, vol. 61, no.2, pp. 215-226. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0006-5

APA:
Genčev, M. (2011). Binomial sums involving harmonic numbers. Mathematica Slovaca, 61(2), 215-226. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0006-5
O vydaní: