Some New Applications of Matrix Inversions in Ar
- Cite this article as:
- Schlosser, M. The Ramanujan Journal (1999) 3: 405. doi:10.1023/A:1009809424076
We apply multidimensional matrix inversions to multiple basic hypergeometric summation theorems to derive several multiple (q-)series identities which themselves do not belong to the hierarchy of (basic) hypergeometric series. Among these are A terminating and nonterminating q-Abel and q-Rothe summations. Furthermore, we derive some identities of another type which appear to be new already in the one-dimensional case.