5 citations · 12 across the 13 of their papers we have counts for
13 papers
On an expansion formula of Liu
Bing He
In this paper, we extend an expansion formula of Liu to multiple basic hypergeometric series over the root system The usefulness of Liu's expansion formula in special func…
Proofs for certain conjectures of Gosper on q-trigonometric identities
Bing He
Applying the theory of elliptic functions we establish two Jacobi theta function identities. From these identities we confirm two q-trigonometric identities conjectured by Gosper.…
Hecke-type identities associated with definite quadratic forms
Bing He
Since the study by Jacobi and Hecke, Hecke-type series have received a lot of attention. Unlike such series associated with indefinite quadratic forms, identities on Hecke-type ser…
Hecke-type series involving infinite products
Bing He
Since the study by Jacobi and Hecke, Hecke-type series have received extensive attention. Especially, Hecke-type series involving infinite products have attracted broad interest am…
On certain q-trigonometric identities
Bing He
Finding theta function (or -)analogues for well-known trigonometric identities is an interesting topic. In this paper, we first introduce the definition of -analogues for $\m…
Proofs for two Lambert series identities of Gosper
Bing He
Applying the theory of modular forms and Lambert series manipulations we establish an Eisenstein series identity. From this formula we confirm a Lambert series identity conjectured…