2012•arXiv (Cornell University)Open access

A family of summation formulas involving generalized harmonic numbers

Chuanan Wei, Qinglun Yan, Dianxuan Gong

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Abstract

Combining the derivative operator with a binomial sum from the telescoping method, we establish a family of summation formulas involving generalized harmonic numbers.

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Combining the derivative operator with a binomial sum from the telescoping method, we establish a family of summation formulas involving generalized harmonic numbers.

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Available abstract

Combining the derivative operator with a binomial sum from the telescoping method, we establish a family of summation formulas involving generalized harmonic numbers.

Key concepts: Telescoping series, Harmonic number, Mathematics, Binomial coefficient, Binomial (polynomial), Summation by parts, Harmonic, Operator (biology)

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