Ce Xu
Abstract
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We develop new closed form representations of sums of (n + α)th shifted harmonic numbers and reciprocal binomial coefficients in terms of αth shifted harmonic numbers. Some interesting new consequences and illustrative examples are considered.
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We develop new closed form representations of sums of (n + α)th shifted harmonic numbers and reciprocal binomial coefficients in terms of αth shifted harmonic numbers. Some interesting new consequences and illustrative examples are considered.
Key concepts: Binomial coefficient, Harmonic number, Reciprocal, Binomial (polynomial), Harmonic, Mathematics, Binomial theorem, Gaussian binomial coefficient