On an Extension of a Combinatorial Identity

Proceedings Mathematical Sciences

A K Agarwal¹  M Rana² 

[1] $$;Center for Advanced Study in Mathematics, Panjab University, Chandigarh 0 0, India$$

关键词: 𝑛-Color partitions;    lattice paths;    Frobenius partitions;    Göllnitz–Gordon identities;    combinatorial interpretations.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Using Frobenius partitions we extend the main results of [4]. This leads to an infinite family of 4-way combinatorial identities. In some particular cases we get even 5-way combinatorial identities which give us four new combinatorial versions of Göllnitz–Gordon identities.

【 授权许可】

Unknown