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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17748

Title: A New Construction of Ewell's Octuple Product Identity
Authors: Chen, Sin-Da;Chen, Wei-Yueh;Huang, Sen-Shan
Contributors: 數學系
Keywords: Jacobi`s triple product identity;Pentagonal Number Theorem;Euler`s Identity;Quintuple Product Identity;Octuple Product Identity;Winquist`s Identity
Date: 2004-11
Issue Date: 2013-12-30T06:56:45Z
Publisher: SpringerLink
Abstract: 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.
Relation: Indian Journal Pure and Applied Mathematics, 35(11): 1241-1253
Appears in Collections:[數學系] 期刊論文

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