Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables
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 ext...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6624006 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547170653306880 |
|---|---|
| author | Lee-Chae Jang Dae San Kim Taekyun Kim Hyunseok Lee |
| author_facet | Lee-Chae Jang Dae San Kim Taekyun Kim Hyunseok Lee |
| author_sort | Lee-Chae Jang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-adcd9b8d0fad49f7809fb581457f98fb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-adcd9b8d0fad49f7809fb581457f98fb2025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66240066624006Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random VariablesLee-Chae Jang0Dae San Kim1Taekyun Kim2Hyunseok Lee3Graduate School of Education, Konkuk University, Seoul 143-701, Republic of KoreaDepartment of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaThe 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.http://dx.doi.org/10.1155/2020/6624006 |
| spellingShingle | Lee-Chae Jang Dae San Kim Taekyun Kim Hyunseok Lee Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables Journal of Function Spaces |
| title | Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables |
| title_full | Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables |
| title_fullStr | Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables |
| title_full_unstemmed | Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables |
| title_short | Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables |
| title_sort | some identities involving derangement polynomials and numbers and moments of gamma random variables |
| url | http://dx.doi.org/10.1155/2020/6624006 |
| work_keys_str_mv | AT leechaejang someidentitiesinvolvingderangementpolynomialsandnumbersandmomentsofgammarandomvariables AT daesankim someidentitiesinvolvingderangementpolynomialsandnumbersandmomentsofgammarandomvariables AT taekyunkim someidentitiesinvolvingderangementpolynomialsandnumbersandmomentsofgammarandomvariables AT hyunseoklee someidentitiesinvolvingderangementpolynomialsandnumbersandmomentsofgammarandomvariables |