ON GENERALIZATIONS OF SOME COMBINATORIAL IDENTITIES

Print ISSN: 2319-1023

Abstract

In this paper, using split (n + t)- color partitions, R-weighted lattice paths and modi ed 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.

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