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IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS

김태균|Bayad
장전수학회 (Jangjeon Mathematical Society)|2010.04|Advanced Studies in Contemporary Mathematics|제20권 제2호|pp. 247-253

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참고문헌

키워드

zeta functionp-adic fermionic integralsBernoulli and Euler numbersDirichlet character p-adic invariant integrals
주제분류수학

초록

The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.

Abstract

The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.

참고문헌 (11)

  1. A. Bayad, "Arithmetical properties of elliptic Bernoulli and Euler numbers", International Journal of Algebra (2010)
  2. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
  3. 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
  4. T. Kim, "Symmetry of power sum polynomials and muktivariate fermionic p-adic integral on Zp", Russian J. Math. Phys., 16, pp.93~96 (2009)
  5. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  6. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
  7. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on Zp", Russian J. Math. Phys., 16, pp.484~491 (2009)
  8. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  9. C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
  10. Y. Simsek, "On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers", Russian J. Math. Phys., 13, pp.340~348 (2006)
  11. Z. Zhang, "Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 11(2), pp.191~198 (2008), 장전수학회

관련 논문AI추천

SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomialsH. Yang, Z. Zhang장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2008 · 제11권 제2호Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials김대산, D. V. Dolgy, S. H. Rim, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호Some identities of the type 2 degenerate Bernoulli and Euler numbers권종겸, 김대산, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호

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