On certain series involving reciprocals of binomial coefficients
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Publication:3120683
DOI10.7153/jca-02-01zbMath1412.11144OpenAlexW2228031030MaRDI QIDQ3120683
Publication date: 5 March 2019
Published in: Journal of Classical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jca-02-01
Convergence and divergence of series and sequences (40A05) Evaluation of number-theoretic constants (11Y60)
Related Items (2)
On some series involving reciprocals of binomial coefficients ⋮ Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)
Cites Work
- On the series \(\sum ^{\infty}_{k=1}\binom{2k}{k}^{-1}k^{-n}\) and related sums
- On the series \(\sum_{k=1}^\infty \binom {3k}{k}^{-1} k^{-n}x^k\)
- Massive Feynman diagrams and inverse binomial sums
- Integral representations of some series involving \({\binom {2k}k}^{-1} k^{-n}\) and some related series.
- Values of the Riemann zeta functions and integrals involving \(\log (2\sinh {\theta\over 2})\) and \(\log (2\sin {\theta\over 2})\)
- Evaluations of binomial series
- Harmonic numbers and double binomial coefficients
- ON SUMS OF BINOMIAL COEFFICIENTS
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