Engel expansions and the Rogers-Ramanujan identities

JOURNAL OF NUMBER THEORY

卷:80

Article

Andrews, GE ; Knopfmacher, A ; Knopfmacher, J

关键词: Engel expansions;    Rogers-Ramanujan identities;    acceleration of convergence;   

DOI  :  10.1006/jnth.1999.2453

来源: Elsevier

【 摘 要 】

We study the previously developed extension of the Engel expansion to the field of Formal Laurent series. We examine three separate aspects. First we consider the algorithm in relation to the work of Ramanujan. Second we show how the algorithm can be used to prove expansions such as those found by Euler, Rogers, and Ramanujan. Finally we remark briefly on its use in acceleration of convergence. (C) 2000 Academic Press.

【 授权许可】

Free