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SOME IDENTITIES OF DERANGEMENT NUMBERSSOME IDENTITIES OF DERANGEMENT NUMBERS
- Other Titles
- SOME IDENTITIES OF DERANGEMENT NUMBERS
- Authors
- 김태균; 김대산; Dmitry V. Dolgy; 권종겸
- Issue Date
- 2018
- Publisher
- 장전수학회
- Keywords
- derangement numbers; r-derangement numbers; arrangement numbers
- Citation
- Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), v.21, no.1, pp 125 - 141
- Pages
- 17
- Indexed
- SCOPUS
KCI
- Journal Title
- Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)
- Volume
- 21
- Number
- 1
- Start Page
- 125
- End Page
- 141
- ISSN
- 1598-7264
- Abstract
- In combinatorial mathematics, a derangement is a permuta- tion of the elements of a set, such that no element appears in its original position. That is, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derange- ment number. In this paper, we study some identities involving derange- ment numbers, r-derangement numbers and some other special numbers which are derived from various generating functions.
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