Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50281#.VDN2u1fHRK0 Author(s) Garima Sood , Ashok Kumar Agarwal Affiliation(s) Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India . 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 wi...
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