본문 바로가기
KERD
논문KCI 등재

A note on the Bernoulli polynomials arising from a non-linear differential equation

1

조회

0

다운로드

8

인용

0

참고문헌

주제분류수학

초록

In [4], Kim investigated Frobenius-Euler polynomials aris-ing from non-linear di erential equations. Using Kim's idea , Rim ,Jeong and Park studied Euler polynomials arising from certain non-linear di erential equation. In this paper, we derive some new identitiesbetween the sums of products of Bernoulli polynomials and Bernoullipolynomials of higher order. Once again we use Kim's idea heavily inthis paper.

Abstract

In [4], Kim investigated Frobenius-Euler polynomials aris-ing from non-linear di erential equations. Using Kim's idea , Rim ,Jeong and Park studied Euler polynomials arising from certain non-linear di erential equation. In this paper, we derive some new identitiesbetween the sums of products of Bernoulli polynomials and Bernoullipolynomials of higher order. Once again we use Kim's idea heavily inthis paper.

참고문헌 (12)

  1. I.N. Cangul, "A note on interpolation functions of the Frobenius-Euler numbers, Application of Mathematics in Technical and Natural Sciences, in AIP Conf. Proc.1301", Amer. Inst. Phys. Melville, pp.59~67 (2010)
  2. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  3. N. Nielson, "Traite elementaire des nombres de Bernoulli" (1923)
  4. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear dif- ferential equations", J. Number Theory, 132, pp.2854~2865 (2012)
  5. J. Choi, "Some arithmetic identities on Bernoulli and Euler numbers arising from the -adic integrals on", Advanced Studies in Contemporary Mathematics, 22(2), pp.239~247 (2012), 장전수학회
  6. N. Nielson, "Traite elementaire des nombres de Bernoulli" (1923)
  7. Y. Simsek, "Special functions related to Dedekind-type DC-sums and their applications", Russian J. Math. Phys, 174, pp.495~508 (2010)
  8. 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
  9. S-H. Rim, "Some Identities involving Euler polynomials arising from non-linear differential equations"
  10. L. Carlitz, "Note on the integral of the product of several Bernoulli polynomials", J. London Math.Soc, 34, pp.361~363 (1959)
  11. S-H. Rim, "Some Identities involving Genocchi polynomials arising from non-linear differential equations"
  12. Z.Zhang, "Some closed formulas for generalized Bernoulli-Euler numbers and polynomials", Proc. Jangjeon Math. Soc, 11(2), pp.191~198 (2008)

관련 논문AI추천

이 간행물의 다른 논문 (14건)