National Changhua University of Education Institutional Repository : Item 987654321/17744
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题名: Incomplete Elliptic Integrals in Ramanujan's Lost Notebook
作者: Berndt, Bruce C.;Chan, Heng-Huat;Huang, Sen-Shan
贡献者: 數學系
日期: 2000
上传时间: 2013-12-30T06:56:31Z
出版者: American Mathematical Society
摘要: On pages 51–53 of his lost notebook, S. Ramanujan expressed several integrals of products of Dedekind eta-functions in terms of incomplete elliptic integrals of the first kind. In this paper, we prove these identities using only results found in Ramanujan’s notebooks. We then construct several new elliptic integrals of this type using modular identities associated with certain “Hauptmoduls.”
關聯: Contemporary Mathematics, 254: 79-126
显示于类别:[數學系] 期刊論文

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