In this paper, we give two transformation formulas for q _series using two simple properties of q _ultraspherical polynomials. Using these transformations and the well_known Rogers_Ramanujan identities, we provide ...In this paper, we give two transformation formulas for q _series using two simple properties of q _ultraspherical polynomials. Using these transformations and the well_known Rogers_Ramanujan identities, we provide simple proofs of some identities of the Rogers_Ramanujan type.展开更多
基金Supported by National Natural Science Foundation of China (11871258)the Young Backbone Teachers in Henan Province (2020GGJS194)the Young Backbone Teachers in Luoyang Normal College (2019XJGGJS-10)。
文摘In this paper, we give two transformation formulas for q _series using two simple properties of q _ultraspherical polynomials. Using these transformations and the well_known Rogers_Ramanujan identities, we provide simple proofs of some identities of the Rogers_Ramanujan type.
