Q-Engel series expansions and slater’s identities

George E. Andrews; Arnold Knopfmacher; Peter Paule; Helmut Prodinger

doi:10.1080/16073606.2001.9639228

Q-Engel series expansions and slater’s identities

George E. Andrews, Arnold Knopfmacher, Peter Paule, Helmut Prodinger

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 rĉole.

Original language	English (US)
Pages (from-to)	403-416
Number of pages	14
Journal	Quaestiones Mathematicae
Volume	24
Issue number	3
DOIs	https://doi.org/10.1080/16073606.2001.9639228
State	Published - Sep 2001

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1080/16073606.2001.9639228

Cite this

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AU - Paule, Peter

AU - Prodinger, Helmut

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AB - 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 rĉole.

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JO - Quaestiones Mathematicae

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Q-Engel series expansions and slater’s identities

Abstract

All Science Journal Classification (ASJC) codes

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