In this paper, we obtain an interesting identity by applying two \(g\)-operator identities. From this identity, we can recover the terminating Sears’ \(\prescript{}{3}{\Phi}_2\) transformation formulas and the Dilcher’s identity and the Uchimura’s identity. In addition, an interesting binomial identity can be concluded.
Citation
Jian-Ping Fang. Note on a \(q\)-Operator Identity[J], Ars Combinatoria, Volume 105. 395-401. .