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Engel Expansions and the Rogers–Ramanujan Identities

✍ Scribed by George E. Andrews; Arnold Knopfmacher; John Knopfmacher

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
176 KB
Volume
80
Category
Article
ISSN
0022-314X

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✦ Synopsis

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.

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