Basic Hypergeometric Series Transformation And Summation Formulas

In this thesis, we mainly research the transformation and summation formulas of basichypergeometric series.In Chapter1, we look back on the history of basic hypergeometric series, and introducesome basic definitions and notations.In Chapter2, we obtain a new transformation formulas of basic hypergeometric seriesby using Bailey transform, and get several Rogers-Ramanujan identities by applying somecommon Bailey pairs.In Chapter3, we mainly use the thought of series rewrite to deduce some transforma-tion and summation formulas of bilateral basic hypergeometric series.