ON COMBINATORICS OF MODIFIED LATTICE PATHS AND GENERALIZED q-SERIES

被引：0

作者：

Rana, M. ^{[1
]}

Goyal, Megha ^{[2
]}

机构：

[1] Thapar Univ, Sch Math, Patiala 147001, Punjab, India

[2] IK Gujral Punjab Tech Univ, Dept Math Sci, Main Campus, Jalandhar 144603, Kapurthala, India

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2018年 / 13卷 / 01期

关键词：

q-series; split (n plus t)-color partitions; combinatorial identities; weighted lattice paths; modified lattice paths; RAMANUJAN TYPE IDENTITIES; PARTITIONS; BALLOT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Agarwal and Sachdeva, 2017, proved two Rogers-Ramanujan type identities for modified lattice paths by establishing a bijection between split (n + t)-color partitions and the modified lattice paths. In this paper, we interpret four generalized basic series combinatorially in terms of modified lattice paths by using a similar bijection. This leads to four new Rogers-Ramanujan type identities for modified lattice paths.

引用

页码：136 / 149

页数：14

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