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請使用永久網址來引用或連結此文件: http://ir.ncue.edu.tw/ir/handle/987654321/17748

題名: A New Construction of Ewell's Octuple Product Identity
作者: Chen, Sin-Da;Chen, Wei-Yueh;Huang, Sen-Shan
貢獻者: 數學系
關鍵詞: Jacobi`s triple product identity;Pentagonal Number Theorem;Euler`s Identity;Quintuple Product Identity;Octuple Product Identity;Winquist`s Identity
日期: 2004-11
上傳時間: 2013-12-30T06:56:45Z
出版者: SpringerLink
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 nd 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.
關聯: Indian Journal Pure and Applied Mathematics, 35(11): 1241-1253
顯示於類別:[數學系] 期刊論文

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