2011International Journal of CombinatoricsOpen access

Harmonic Numbers and Cubed Binomial Coefficients

Anthony Sofo

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Abstract

Euler related results on the sum of the ratio of harmonic numbers and cubed binomial coefficients are investigated in this paper. Integral and closed-form representation of sums are developed in terms of zeta and polygamma functions. The given representations are new.

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Euler related results on the sum of the ratio of harmonic numbers and cubed binomial coefficients are investigated in this paper. Integral and closed-form representation of sums are developed in terms of zeta and polygamma functions. The given representations are new.

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Available abstract

Euler related results on the sum of the ratio of harmonic numbers and cubed binomial coefficients are investigated in this paper. Integral and closed-form representation of sums are developed in terms of zeta and polygamma functions. The given representations are new.

Key concepts: Harmonic number, Mathematics, Binomial coefficient, Binomial (polynomial), Gaussian binomial coefficient, Euler's formula, Binomial distribution, Euler number (physics)

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