Short proofs of summation and transformation formulas for basic hypergeometric series

作者：Guo Victor J W^*; Zeng Jiang

来源：Journal of Mathematical Analysis and Applications, 2007, 327(1): 310-325.

DOI：10.1016/j.jmaa.2006.04.040

• Jackson'
• s (8 phi 7) summation
• Watson'
• s (8 phi 7) transformation
• Bailey'
• s (10 phi 9) transformation
• Singh'
• s quadratic transformation
• Jacobi'
• s triple product identity
• Watson'
• s quintuple product identity

We show that several terminating summation and transformation formulas for basic hypergeometric series can be proved in a straightforward way. Along the same line, new finite forms of Jacobi';s triple product identity and Watson';s quintuple product identity are also proved.

• 出版日期2007-3-1