Author(s)

Garima Sood, Ashok Kumar Agarwal^*

Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India.

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.

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

Sood, G. and Agarwal, A. (2014) On a 3-Way Combinatorial Identity. Open Journal of Discrete Mathematics, 4, 89-96. doi: 10.4236/ojdm.2014.44012.