q-Pell sequences and two identities of V.A.!Lebesgue

被引：28

作者：

Santos, JPO

Sills, AV ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, Whitemore Lab 108, University Pk, PA 16802 USA

[2] Univ Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil

来源：

DISCRETE MATHEMATICS | 2002年 / 257卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

partitions; q-series; combinatorial identities; Pell numbers;

D O I：

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

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 q-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：125 / 142

页数：18

共 12 条

[1]

Andrews G. E., 1976, THEORY PARTITIONS

[2] Q-ANALOG OF KUMMERS THEOREM AND APPLICATIONS [J].