2-colored Rogers-Ramanujan partition identities

Authors: MOHAMMAD ZADEHDABBAGH

Abstract: In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan partitions. By finding some functional equations and using a constructive method, some identities have been found. Some overpartition identities coincide with our findings. A correspondence between colored partitions and overpartitions is provided.

Keywords: Colored partitions, Rogers-Ramanujan, overpartition

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