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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.4
- 발행연도
- 2021.10
- 수록면
- 457 - 470 (14page)
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In 1708, Pierre Remonde de Motmort introduced the problem of counting derangement for the first time. A derangement is a permutation that has no fixed points. Recently, many researchers have studied the derangement polynomials and T. Kim introduced the degenerate derangement polynomials and investigated some identities of those polynomials. In, Jang-Kim-Kim-Lee introduced some identities involving derangement polynomials and numbers and moments of gamma random variables. In this paper, we study some identities and properties of the derangement polynomials and degenerate derangement polynomials and investigate the zeros of derangement polynomials. Moreover, we investigate the numerical pattern of the roots of the polynomials Dn,λ(x) varying the degree of polynomials from 1 to 40.
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참고문헌 (20)
참고문헌 신청
S. H. Assaf / 2010 / Cyclic derangements / Electron. J. Combin. 17:163~176
L. Carlitz / 1978 / The number of derangements of a sequence with given specification / Fibonacci Quart 16(3):255~258
R. J. Clarke / 1993 / Derangements and Bell numbers / Math. Mag 66(5):299~303
L. Comtet / 1974 / Advanced combinatorics, The art of finite and infinite expansions / D. Reidel Publishing Co.
I. P. Goulden / 1981 / A correspondence between plane planted chromatic trees and generalised derangements / Bull. London Math. Soc 13(1):28~32
L. Carlitz / 1978 / The number of derangements of a sequence with given specification / Fibonacci Quart 16(3):255~258
R. J. Clarke / 1993 / Derangements and Bell numbers / Math. Mag 66(5):299~303
L. Comtet / 1974 / Advanced combinatorics, The art of finite and infinite expansions / D. Reidel Publishing Co.
I. P. Goulden / 1981 / A correspondence between plane planted chromatic trees and generalised derangements / Bull. London Math. Soc 13(1):28~32
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