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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.30 No.4
- 발행연도
- 2020.1
- 수록면
- 547 - 558 (12page)
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초록· 키워드
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Kim-Kim(Proc. Jangjeon Math. Soc. 23(4) 2020) studied the Lah-Bell numbers and polynomials. Furthermore, many mathematicians have recently been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. From this point of view, we are interested in a new type of extended Lah-Bell polynomials and numbers, and the the degenerate extended Lah-Bell polynomials and numbers. The paper is divided in two parts. In the first part, we introduce a new type of the extended Lah-Bell polynomials and numbers, and derive several combinatorial identities related to thoese polynomials and numbers. Some of them include the degenerate and other special polynomials and numbers such as the Stirling number of the second kind, the derangement numbers, the Bell polynomials, the Changhee polynomials of order r, etc. In the second part, we also consider the degenerate extended Lah-Bell polynomials and numbers, and give some new explicit expressions and identities involving those polynomials and numbers.
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참고문헌 (21)
참고문헌 신청
S. Araci / 2015 / Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials / Adv. Difference Equ 2015:272
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / Reidel
D. V. Dolgy / 2018 / SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 21(2):309~317
김대산 / 2020 / Lah-Bell numbers and polynomials / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 23(4):575~584
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / Reidel
D. V. Dolgy / 2018 / SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 21(2):309~317
김대산 / 2020 / Lah-Bell numbers and polynomials / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 23(4):575~584
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