Harmonic Numbers and Cubed Binomial Coefficients
Copyright policy )Harmonic Numbers and Cubed Binomial Coefficients
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.
- Victoria University Australia
330, Generalized hypergeometric series, \({}_pF_q\), 0103 Numerical and Computational Mathematics, ResPubID23857, integral representations, VU College, Euler sums, polygamma function, 510, combinatorial identities, beta function, harmonic numbers, Binomial coefficients; factorials; \(q\)-identities, Riemann zeta function, 970101 Expanding Knowledge in the Mathematical Sciences, Gamma, beta and polygamma functions
330, Generalized hypergeometric series, \({}_pF_q\), 0103 Numerical and Computational Mathematics, ResPubID23857, integral representations, VU College, Euler sums, polygamma function, 510, combinatorial identities, beta function, harmonic numbers, Binomial coefficients; factorials; \(q\)-identities, Riemann zeta function, 970101 Expanding Knowledge in the Mathematical Sciences, Gamma, beta and polygamma functions
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