In this paper, using split (n + t)- color partitions, R-weighted lattice paths and modied lattice paths, we interpret two q-series which leads to new 3-
way combinatorial identities. These generalize some of the results due to Agarwal and Sachdeva.
Keywords and Phrases
Split (n+t)-color partitions, lattice paths, combinatorial interpretation, combinatorial identities.
A.M.S. subject classiﬁcation
05A15, 05A17, 05A19, 05A30, 11P81.