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.
|頁（從 - 到）||1241-1253|
|期刊||Indian Journal of Pure and Applied Mathematics|
|出版狀態||Published - 2004 十一月|
All Science Journal Classification (ASJC) codes
- Applied Mathematics