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- Title
On Self-Conjugate Split n-Color Partitions.
- Authors
Sachdeva, Rachna
- Abstract
Analogous to the definition of self-conjugate n-color partitions, we introduce here self-conjugate split n-color partitions. The self-conjugate split n-color partitions arise as a modification of another, existing class of partitions. In addition to the generating function and recurrence relation of self-conjugate split n-color partitions, we find several combinatorial identities which associate these partitions with other combinatorial structures. We give a bijection from the set of split n-color partitions of a positive integer ν onto that of partitions of ν with ' ' n + 1 2 copies of n". Moreover, an explicit bijection between the set of restricted self-conjugate split n-color partitions of ν and the set of restricted n-color partitions of ν has been constructed. Some results involving new restricted split n-color partition functions are also obtained.
- Subjects
PARTITION functions; GENERATING functions; BIJECTIONS; PARTITIONS (Mathematics); INTEGERS
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 5, p2487
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-021-00657-w