Q-Pell sequences and two identities of V.A. Lebesgue

José Plinio O. Santos; Andrew V. Sills

doi:10.1016/S0012-365X(01)00475-7

Q-Pell sequences and two identities of V.A. Lebesgue

José Plinio O. Santos
, Andrew V. Sills

Mathematical Sciences

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

31 Scopus citations

Abstract

We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be (/-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities.

Original language	English
Pages (from-to)	125-142
Number of pages	18
Journal	Discrete Mathematics
Volume	257
Issue number	1
DOIs	https://doi.org/10.1016/S0012-365X(01)00475-7
State	Published - Nov 6 2002

Scopus Subject Areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Keywords

Combinatorial identities
Partitions
Pell numbers
Ç-series

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10.1016/S0012-365X(01)00475-7

Cite this

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title = "Q-Pell sequences and two identities of V.A. Lebesgue",

abstract = "We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be (/-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities.",

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T1 - Q-Pell sequences and two identities of V.A. Lebesgue

AU - Santos, José Plinio O.

AU - Sills, Andrew V.

PY - 2002/11/6

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N2 - We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be (/-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities.

AB - We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be (/-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities.

KW - Combinatorial identities

KW - Partitions

KW - Pell numbers

KW - Ç-series

UR - https://www.scopus.com/pages/publications/31244432708

U2 - 10.1016/S0012-365X(01)00475-7

DO - 10.1016/S0012-365X(01)00475-7

M3 - Article

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VL - 257

SP - 125

EP - 142

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1

ER -

Q-Pell sequences and two identities of V.A. Lebesgue

Abstract

Scopus Subject Areas

Keywords

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