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.
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页码：136 / 149
页数：14
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