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.
Colored partitions, Rogers-Ramanujan, overpartition
"2-colored Rogers-Ramanujan partition identities,"
Turkish Journal of Mathematics: Vol. 46:
8, Article 18.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss8/18