Goyal, M. and Agarwal, A.K. Further Rogers-Ramanujan Identities for n-Colour Partitions, Utilitas Mathematica. (to appear).

has been cited by the following article:

• TITLE: On a 3-Way Combinatorial Identity

  AUTHORS: Garima Sood, Ashok Kumar Agarwal

  KEYWORDS: Basic Series, Partitions, N-Colour Partitions, Frobenius Partitions, Lattice Paths, Generating Functions, Combinatorial Identities

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.4 No.4, September 30, 2014

  ABSTRACT: 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.