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SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION

김태균|김대산
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회보 (Bulletin of the KMS)|제52권 제6호|pp. 2001-2010

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참고문헌

키워드

non-linear differential equationBernoulli numbers of second kind
주제분류수학

초록

In this paper, we give explicit and new identities for the Bernoulli numbers of the second kind which are derived from a non-linear differential equation.

Abstract

In this paper, we give explicit and new identities for the Bernoulli numbers of the second kind which are derived from a non-linear differential equation.

참고문헌 (16)

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  3. L. Comtet, "Advanced Combinatorics" (1974), D. Reidel Publishing Co
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  7. 김대산, "Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials", Advanced Studies in Contemporary Mathematics, 23(4), pp.621~636 (2013), 장전수학회
  8. 김대산, "A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.379~389 (2012), 장전수학회[DOI]
  9. G. Kim, "The DC algorithm for computing sums of powers of consecutive integers and Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 17(2), pp.137~145 (2008), 장전수학회
  10. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coef-ficients", Russ. J. Math. Phys, 15(1), pp.51~57 (2008)
  11. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear dif-ferential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)
  12. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  13. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  15. Erdogan Sen, "THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASIS", Advanced Studies in Contemporary Mathematics, 23(2), pp.337~346 (2013), 장전수학회
  16. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회

관련 논문AI추천

DIFFERENTIAL EQUATIONS ARISING FROM THE GENERATING FUNCTION OF DEGENERATE BERNOULLI NUMBERS OF THE SECOND KIND김대산, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS권혁인, 김대산, 김태균, 서종진, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation김태균, 박진우, 임석훈, 정주희경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Some identities of the type 2 degenerate Bernoulli and Euler numbers권종겸, 김대산, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균, Bayad장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호

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