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 E
โฆ LIBER โฆ
Pseudo q -Engel expansions and Rogers-Ramanujan type identities
โ Scribed by Prodinger, Helmut
- Book ID
- 118121753
- Publisher
- Taylor and Francis Group
- Year
- 2012
- Tongue
- English
- Weight
- 217 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1607-3606
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Engel Expansions and the RogersโRamanuja
โ
George E. Andrews; Arnold Knopfmacher; John Knopfmacher
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 176 KB
An Infinite Family of Engel Expansions o
โ
George E. Andrews; Arnold Knopfmacher; Peter Paule
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 89 KB
The extended Engel expansion is an algorithm that leads to unique series expansions of q-series. Various examples related to classical partition theorems, including the Rogers-Ramanujan identities, have been given recently. The object of this paper is to show that the new and elegant Rogers-Ramanuja
q-Fibonacci Polynomials and the Rogers-R
โ
Johann Cigler
๐
Article
๐
2004
๐
Springer
๐
English
โ 224 KB
RogersโRamanujan type identities and Nil
โ
Cherednik, Ivan; Feigin, Boris
๐
Article
๐
2013
๐
Elsevier Science
๐
English
โ 445 KB
q -ENGEL SERIES EXPANSIONS AND SLATER'S
โ
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut
๐
Article
๐
2001
๐
Taylor and Francis Group
๐
English
โ 193 KB
Level two string functions and Rogers Ra
โ
Genish, Arel; Gepner, Doron
๐
Article
๐
2014
๐
Elsevier Science
๐
English
โ 280 KB