2 citations · 2 across the 13 of their papers we have counts for
13 papers
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…
Several transformation formulas for basic hypergeometric series
Chuanan Wei, Dianxuan Gong
In 1981, Andrews gave a four-variable generalization of Ramanujan's summation formula. We establish a six-variable generalization of Andrews' identity according to the tr…
Contiguous relations of -series
Chuanan Wei, Dianxuan Gong
According to Abel's lemma and the method of linear combinations, we establish numerous contiguous relations of -series, which can be regarded as q-analogues of the contiguou…
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…