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Further q-analogues of the (G.2) Supercongruence of Van Hamme
Yudong Liu, Xiaoxia Wang
In 2015, Swisher generalized the (G.2) supercongruence of Van Hamme to the modulus p^4. In this paper, we first propose two q-analogues of Swisher's supercongruence and then a new…
Some q-supercongruences from Rahman's summation formula
Yudong Liu, Xiaoxia Wang
Inspired by the recent work on -congruences and the quadratic summation formula of Rahman, we provide some new -supercongruences. By taking in one of our results, we…
Infinite Summation Formulas Involving Riemann-Zeta function
Xiaoxia Wang, Xueying Yuan
By some hypergeometric summation theorems, the authors establish a series of new infinite summation formulas involving generalized harmonic numbers related to Riemann-Zeta function…
Recursion formulas of q-Appell functions
Xiaoxia Wang, Wei Chuanan
Recently, Opps, Saad and Srivastava gave the recursion formulas of Appell's function F2. The first author of this paper then established the recursion formulas for Appell functions…
Whipple-type -series and summation formulae involving generalized harmonic numbers
Chuanan Wei, Xiaoxia Wang
By means of the derivative operator and Whipple-type -series identities, two families of summation formulae involving generalized harmonic numbers are established.
Summation formulas involving generalized harmonic numbers
Chuanan Wei, Xiaoxia Wang
In terms of the derivative operator and three hypergeometric series identities, several interesting summation formulas involving generalized harmonic numbers are established.