6 papers
Extensions of two -Gosper identities with an extra integer parameter
Chuanan Wei, Qinglun Yan
According to the method of series rearrangement, we establish the extensions of two -Gosper identities with an extra integer parameter. The limiting cases of them produce the ge…
Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral
Chuanan Wei, Xiaoxia Wang, Qinglun Yan
By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's -series identity. Subsequently, it and Milne's identi…
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.
A short proof for Dougall's -series identity
Chuanan Wei, Qinglun Yan, Jianbo Li
According to Chen and Fu's method, we offer a short proof for Dougall's -series identity.