컨텐츠 시작
학술대회/행사
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| 제출번호(No.) | 0572 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Combinatorics / Graph Theory / Cryptography / Coding Theory (SS-05) |
| 영문제목 (Title(Eng.)) |
A $q$-nalogue of generalized Bell numbers |
| 저자(Author(s)) |
Roberto Corcino1 Mindanao State University1 |
| 초록본문(Abstract) | A $q$-analogue of generalized Bell numbers is defined as the sum of $q$-Rucinski-Voigt numbers. Some properties parallel to those of generalized Bell numbers are obtained including the exponential generating function, Dobinski-type formula and a kind of recurrence relation. Moreover, a $q$-analogue of the Hankel transform of generalized Bell numbers is derived using J. Layman's Theorem. |
| 분류기호 (MSC number(s)) |
05A15, 11B65, 11B73 |
| 키워드(Keyword(s)) | Stirling numbers, Bell numbers, Hankel transform, Rucinski-Voigt numbers |
| 강연 형태 (Language of Session (Talk)) |
English |