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math.CO2012
A family of summation formulas involving generalized harmonic numbers
Chuanan Wei, Qinglun Yan, Dianxuan Gong
Combining the derivative operator with a binomial sum from the telescoping method, we establish a family of summation formulas involving generalized harmonic numbers.
math.CO2012
Telescoping method, derivative operators and harmonic number identities
Chuanan Wei, Dianxuan Gong
In terms of the telescoping method, a simple binomial sum is given. By applying the derivative operators to the equation just mentioned, we establish several general harmonic numbe…
math.CO2012
A class of summation formulas on generalized harmonic numbers
Chuanan Wei, Dianxuan Gong, Qinglun Yan
Combining the derivative operator with Chu-Vandermonde convolution, we establish a class of summation formulas on generalized harmonic numbers.