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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.2
- 발행연도
- 2020.1
- 수록면
- 187 - 196 (10page)
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In this paper, we study the λ -Bernoulli numbers of the second kind which are defined as an integral of the λ -analogue of the falling factorial sequence and express them in terms of the λ -Stirling numbers of the first kind. Then we investigate the generalized λ -Bernoulli numbers of the second kind given as a multiple integral on the unit cube and show, among other things, the generating function of those numbers can be expressed in term of the recently introduced poly- exponential function by Kim-Kim. Finally, we introduce the higher-order λ -Bernoulli numbers of the second kind, again given by another multiple integral on the unit cube, and show those numbers can be given by the degenerate Stirling numbers of the second.
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참고문헌 (27)
참고문헌 신청
Andrews, G. E. / 1999 / Encyclopedia of Mathematics and its Applications / Cambridge University Press :71
Abdelmejid Bayad / 2010 / Modular properties of elliptic Bernoulli and Euler functions / Advanced Studies in Contemporary Mathematics 20(3):389~401
Carlitz, L. / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math. 15:51~88
Carlitz, L. / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
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
Abdelmejid Bayad / 2010 / Modular properties of elliptic Bernoulli and Euler functions / Advanced Studies in Contemporary Mathematics 20(3):389~401
Carlitz, L. / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math. 15:51~88
Carlitz, L. / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
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
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