In this article, we establish an octuple product identity motivated by the work of Carlitz and Subbarao in which they use Jacobi's triple product identity only to prove the quintuple product identity and Winquist's identity. Our work turns out to be a new construction of Ewell's octuple product identity. On the other hand, we offer an alternative proof for the octuple product identity by appealing to functional equations satisfied by related infinite products.
|Number of pages||13|
|Journal||Indian Journal of Pure and Applied Mathematics|
|Publication status||Published - 2004 Nov|
All Science Journal Classification (ASJC) codes
- Applied Mathematics