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

JOURNAL OF NUMBER THEORY

卷:132

Article

Jo, Sihun

关键词: Gamma function;    Continued fraction;    Bauer-Muir transformation;   

DOI  :  10.1016/j.jnt.2012.06.011

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free