利用Abel分部求和引理研究了一个三次基本超几何级数部分和,建立了一个关于这个三次级数的新的变换公式.此变换推广了几个已知的三次q-级数求和公式.
The partial sum of a cubic basic hypergeometric series is investigated by means of the modified Abel's lemma on summation by parts.A new transformation formula for the cubic series is established,which expands some known cubic q-series summation formulae.