期刊文献+

On a 3-Way Combinatorial Identity

On a 3-Way Combinatorial Identity
下载PDF
导出
摘要 Recently in [1] Goyal and Agarwal interpreted a generalized basic series as a generating function for a colour partition function and a weighted lattice path function. This led to an infinite family of combinatorial identities. Using Frobenius partitions, we in this paper extend the result of [1] and obtain an infinite family of 3-way combinatorial identities. We illustrate by an example that our main result has a potential of yielding Rogers-Ramanujan-MacMahon type identities with convolution property. Recently in [1] Goyal and Agarwal interpreted a generalized basic series as a generating function for a colour partition function and a weighted lattice path function. This led to an infinite family of combinatorial identities. Using Frobenius partitions, we in this paper extend the result of [1] and obtain an infinite family of 3-way combinatorial identities. We illustrate by an example that our main result has a potential of yielding Rogers-Ramanujan-MacMahon type identities with convolution property.
出处 《Open Journal of Discrete Mathematics》 2014年第4期89-96,共8页 离散数学期刊(英文)
关键词 Basic Series PARTITIONS N-Colour PARTITIONS FROBENIUS PARTITIONS Lattice PATHS GENERATING Functions Combinatorial IDENTITIES Basic Series Partitions N-Colour Partitions Frobenius Partitions Lattice Paths Generating Functions Combinatorial Identities
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部