In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan parti-tions. 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.
机构:
Department of Mathematics, Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul, TurkeyDepartment of Mathematics, Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul, Turkey
机构:
Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Johannesburg, South AfricaUniv Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Johannesburg, South Africa
Munagi, Augustine O.
Nyirenda, Darlison
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Univ Witwatersrand, Sch Math, Johannesburg, South AfricaUniv Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Johannesburg, South Africa