1 citations · 3 across the 22 of their papers we have counts for
22 papers
Ramanujan-inspired series for involving harmonic numbers
Qinghu Hou, Haihong He, Xiaoxia Wang
By applying the derivative operator to the known identities from hypergeometric series or WZ pairs, we obtain seven series associated with harmonic numbers. Specifically, six of th…
Two curious q-supercongruences and their extensions
Haihong He, Xiaoxia Wang
We prove two single-parameter q-supercongruences which were recently conjectured by Guo, and establish their further extensions with one more parameter. Crucial ingredients in the…
Some double series for and their -analogues
Guoping Gu, Xiaoxia Wang
By applying the partial derivative operator to several summation formulas for hypergeometric series, we prove several double series for in this paper. Similarly, we also establ…
-Supercongruences on triple and quadruple sums
Xiaoxia Wang, Chang Xu
Inspired by the recent work of El Bachraoui, we present some new -supercongruences on triple and quadruple sums of basic hypergeometric series. In particular, we give a -supe…
Some new results about -trinomial coefficients
Yifan Chen, Chang Xu, Xiaoxia Wang
In this paper, we present several new congruences on the -trinomial coefficients introduced by Andrews and Baxter. A new congruence on sums of central -binomial coefficients…
New q-supercongruences from the Bailey transformation
Xiaoxia Wang, Chang Xu
Inspired by the recent work of Guo, we establish some new q-supercongruences including q-analogues of some Ramannujan-type supercongruences, by using the Bailey transformation form…