A new construction of Ewell's octuple product identity

Sin Da Chen, Wei Yueh Chen, Sen Shan Huang

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)1241-1253
頁數13
期刊Indian Journal of Pure and Applied Mathematics
35
發行號11
出版狀態Published - 2004 十一月

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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