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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.21 No.3
- 발행연도
- 2018.1
- 수록면
- 421 - 442 (22page)
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초록· 키워드
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We introduce the degenerate Bernoulli numbers of the second kind as a degenerate version of the Bernoulli numbers of the second kind. We derive a family of nonlinear differential equations satisfied by a function closely related to the generating function for those numbers. We obtain explicit expressions for the coefficients appearing in those differential equations and the degenerate Bernoulli numbers of the second kind. In addition, as an application and from those differential equations we have an identity expressing the degenerate Bernoulli numbers of the second kind in terms of those numbers of higher-orders. 1.
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참고문헌 (17)
참고문헌 신청
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math. 15:51~88
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition / D. Reidel Publishing Co.
강동진 / 2013 / A note on the Bernoulli polynomials arising from a non-linear differential equation / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 16(1):37~43
김대산 / 2015 / SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION / 대한수학회보 52(6):2001~2010
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition / D. Reidel Publishing Co.
강동진 / 2013 / A note on the Bernoulli polynomials arising from a non-linear differential equation / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 16(1):37~43
김대산 / 2015 / SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION / 대한수학회보 52(6):2001~2010
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