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by George E. Andrews, Arnold Knopfmacher
http://www.risc.uni-linz.ac.at/research/combinat/risc/publications/ppaule/EngelSlater.ps
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Abstract:

Abstract. We describe the q{Engel series expansion for Laurent series discovered by John Knopfmacher and use this algorithm to shed new light on partition identities related to two entries from Slater's list. In our study Al-Salam/Ismail and Santos polynomials play a crucial r^ole. Dedicated to the memory of John Knopfmacher 1937-1999 1.

Citations

59 A Mathematica q-analogue of Zeilberger’s algorithm based on an algebraically motivated aproach to q-hypergeometric telescoping – Paule, Riese - 1997
24 The Theory of Partitions, volume 2 of Encyclopedia of Mathematics and Its Applications – Andrews - 1976
21 Further identities of the Rogers-Ramanujan type – Slater - 1952
14 An infinite family of Engel expansions of RogersRamanujan type – Andrews, Knopfmacher, et al. - 2000
10 Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction – Al-Salam, Ismail - 1983
10 Inverse polynomial expansions of Laurent series – KNOPFMACHER, KNOPFMACHER - 1988
8 Computer Algebra and Identities of the Rogers-Ramanujan Type – Santos - 1991
7 Rogers-Ramanujan type identities for partitions with attached odd parts – Andrews, Santos - 1997
3 Engel expansions of q{series by computer algebra – Andrews, Knopfmacher, et al.
2 An algorithmic approach to discovering and proving q{ series identities. Algorithmica – Andrews, Knopfmacher - 2001
2 Engel expansions and the Rogers{ Ramanujan identities – Andrews, Knopfmacher, et al. - 2000
2 Knopfmacher expansions in number theory. Quaestiones Mathematic (this volume – Kalpazidou, Ganatsiou - 2001