Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables
Joint Authors
Kim, Dae San
Jang, Lee-Chae
Kim, Taekyun
Lee, Hyunseok
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708.
A derangement is a permutation that has no fixed points, and the derangement number Dn is the number of fixed point free permutations on an n element set.
Furthermore, the derangement polynomials are natural extensions of the derangement numbers.
In this paper, we study the derangement polynomials and numbers, their connections with cosine-derangement polynomials and sine-derangement polynomials, and their applications to moments of some variants of gamma random variables.
American Psychological Association (APA)
Jang, Lee-Chae& Kim, Dae San& Kim, Taekyun& Lee, Hyunseok. 2020. Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185662
Modern Language Association (MLA)
Jang, Lee-Chae…[et al.]. Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185662
American Medical Association (AMA)
Jang, Lee-Chae& Kim, Dae San& Kim, Taekyun& Lee, Hyunseok. Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185662