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Summation formulas involving harmonic numbers with even or odd indexes
Chuanan Wei, Dianxuan Gong, Lily Li Liu
By means of the derivative operator and Chu-Vandermonde convolution, four families of summation formulas involving harmonic numbers with even or odd indexes are established.
Summation formulas for Fox-Wright function
Chuanan Wei, Lily Li Liu, Dianxuan Gong
By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored. They give some new hypergeometric seri…
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.
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…
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.
Extensions of Ramanujan's two formulas for
Chuanan Wei, Dianxuan Gong
In terms of the hypergeometric method, we establish the extensions of two formulas for due to Ramanujan [27]. Further, other five summation formulas for with free param…