An entry of Ramanujan on continued fraction involving the gamma function in his notebooks

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• 作者：Sihun Jo
• 关键词：primary ; 11A55 ; secondary ; 33B15 ; 30B70
• 刊名：Journal of Number Theory
• 出版年：2012
• 出版时间：December, 2012
• 年：2012
• 卷：132
• 期：12
• 页码：2947-2954
• 全文大小：133 K

文摘

In this paper we give a new proof of Ramanujan?s continued fraction involving the Gamma function, Entry 39 of Chapter 12 of Ramanujan?s second notebook, by using Watson?s form of the Bauer-Muir transformation.