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Abstract: 28> i = i + 1 for i > 0. Arnold and John Knopfmacher de ned in [4, 5] an analogous notion for Laurent series. De nition 1. Given a Laurent series A = P n c n q n 2 C ((q)), and an integer 0, the q-Engel sequence associated with A and is the unique sequence (a i ) of polynomials in q 1 such that A = a 0 + X n1 q n a 1 a n ; with the degrees of the a i obeying deg(a i+1 ) deg(a i ) + + 1. This de (Update)
Active bibliography (related documents): More All
0.6: Engel Expansions of q-Series by Computer Algebra - Andrews, Knopfmacher, Paule.. (2000) (Correct)
0.4: q-Engel Series Expansions and Slater's Identities - Andrews, Knopfmacher.. (Correct)
0.2: An Infinite Family of Engel Expansions of Rogers-Ramanujan .. - Andrews, Knopfmacher.. (2000) (Correct)
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BibTeX entry: (Update)
@misc{ paule-engel,
author = "Peter Paule",
title = "Engel Expansions of q-Series",
url = "citeseer.ist.psu.edu/paule00engel.html" }
Citations (may not include all citations):69 An algorithmic proof theory for hypergeometric (context) - Herbert, Zeilberger - 1992
18 Short and easy computer proofs of the Rogers-Ramanujan ident.. - Peter - 1994
11 Inverse polynomial expansions of Laurent series (context) - Arnold, John - 1988
8 Variants of the Rogers-Ramanujan identities - Kristina, Mourad et al. - 1999
3 An innite family of Engel expansions of Rogers-Ramanujan typ.. (context) - George, Knopfmacher et al. - 2000
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