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.

DOI

10.55730/1300-0098.3336

Keywords

Colored partitions, Rogers-Ramanujan, overpartition

First Page

3352

Last Page

3358

Recommended Citation

ZADEHDABBAGH, M (2022). 2-colored Rogers-Ramanujan partition identities. Turkish Journal of Mathematics 46 (8): 3352-3358. https://doi.org/10.55730/1300-0098.3336

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