본문 바로가기
KERD
논문KCI 등재

A NOTE ON SOME IDENTITIES OF BERNOULLI NUMBERS ARISING FROM RIEMANN INTEGRALS

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we represent the generating function of Bernoulli numbers and its reciprocal as Riemann integrals on the unit interval. From these integral representations and in an elementary way, we derive several identities involving Bernoulli numbers, Bell numbers and Stirling nubers of the first and second kinds.

Abstract

In this paper, we represent the generating function of Bernoulli numbers and its reciprocal as Riemann integrals on the unit interval. From these integral representations and in an elementary way, we derive several identities involving Bernoulli numbers, Bell numbers and Stirling nubers of the first and second kinds.

참고문헌 (13)

  1. 장관우, "Some identities of central Fubini polynomials arising from nonlinear differential equation", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 22(2), pp.205~214 (2019), 장전수학회
  2. 김대산, "TWO VARIABLE HIGHER-ORDER DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(1), pp.5~22 (2018), 장전수학회[DOI]
  3. Kim, D. S, "Some identities of Bell polynomials", Sci. China Math, 58(10), pp.2095~2104 (2015)
  4. 김대산, "Two variable higher-order Fubini polynomials", 대한수학회지, 55(4), pp.975~986 (2018), 대한수학회
  5. 김대산, "A note on $lanbda$-Bernoulli numbers of the second kind", Advanced Studies in Contemporary Mathematics, 30(2), pp.187~196 (2020), 장전수학회
  6. 김대산, "GENERALIZED TYPE 2 DEGENERATE EULER NUMBERS", Advanced Studies in Contemporary Mathematics, 30(2), pp.166~169 (2020), 장전수학회
  7. 김태균, "ON CENTRAL FUBINI POLYNOMIALS ASSOCIATED WITH CENTRAL FACTORIAL NUMBERS OF THE SECOND KIND", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.589~598 (2018), 장전수학회[DOI]
  8. 김태균, "λ-analogue of stirling numbers of the first kind", Advanced Studies in Contemporary Mathematics, 27(3), pp.423~429 (2017), 장전수학회[DOI]
  9. 김택연, "A NOTE ON DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.521~531 (2017), 장전수학회[DOI]
  10. Kim, T, "Two variable higher-order central Fubini polynomials", J. Inequal. Appl, pp.13~ (2019)
  11. 마민영, "SOME IDENTITIES ON THE FULLY DEGENERATE BELL POLYNOMIALS OF THE SECOND KIND", Advanced Studies in Contemporary Mathematics, 30(1), pp.145~154 (2020), 장전수학회
  12. Roman, S, "The umbral calculus. Pure and Applied Mathematics, 111" (1984), Academic Press, Inc
  13. YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (13건)