On Self-Conjugate Split n-Color Partitions

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 [[EQUATION]] 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.