A note on degenerate derangement polynomials and numbers
- 주제(키워드) 도움말 degenerate derangement polynomials , degenerate gamma distribution , degenerate Fubini polynomials , fully degenerate Bell polynomials , degenerate Stirling numbers
- 발행기관 AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions. In more detail, we derive their explicit expressions, recurrence relations and some identities involving the degenerate derangement polynomials and numbers and other special polynomials and numbers, which include the fully degenerate Bell polynomials, the degenerate Fubini polynomials and the degenerate Stirling numbers of both kinds. We also show that those polynomials and numbers are connected with the moments of some variants of the degenerate gamma distributions.
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