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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.4
- 발행연도
- 2017.1
- 수록면
- 659 - 670 (12page)
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In this paper, we study the ordered Bell numbers and polynomials and investigate some interesting properties of these numbers and polynomials arising from umbral calculus. In particular, we derive several formulas for the ordered Bell numbers and polynomials, and express well known family of polynomials in terms of the ordered Bell polynomials.
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참고문헌 (18)
참고문헌 신청
A. Cayley / 1859 / On the analytical forms called trees, second part / Philosophical Magazine, Series IV 18(121):374~378
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / D. Reidel Publishing Co. :228
R. Dere / 2012 / Applications of umbral algebra to some special polynomials / Advanced Studies in Contemporary Mathematics 22(3):433~438
J. Good / 1975 / The number of orderings of n candidates when ties are permitted / Fibonacci Quart. 13:11~18
O. A. Gross / 1962 / Preferential arrangements / Amer. Math. Monthly 69:4~8
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / D. Reidel Publishing Co. :228
R. Dere / 2012 / Applications of umbral algebra to some special polynomials / Advanced Studies in Contemporary Mathematics 22(3):433~438
J. Good / 1975 / The number of orderings of n candidates when ties are permitted / Fibonacci Quart. 13:11~18
O. A. Gross / 1962 / Preferential arrangements / Amer. Math. Monthly 69:4~8
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