Lattice Paths and Rogers Identities

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Lattice Paths and Rogers Identities

Recently we interpreted five q-series identities of Rogers combinatorially by using partitions with “n + t copies of n” of Agarwal and Andrews [1]. In this paper we use lattice paths of Agarwal and Bressoud [2] to provide new combinatorial interpretations of the same identities. This results in five new 3-way combinatorial identities.

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ژورنال

عنوان ژورنال: Open Journal of Discrete Mathematics

سال: 2011

ISSN: 2161-7635,2161-7643

DOI: 10.4236/ojdm.2011.12011