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SYMMETRY PROPERTIES OF THE GENERALIZED HIGHER-ORDER EULER POLYNOMIALS

김태균
장전수학회 (Jangjeon Mathematical Society)|2010.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제13권 제1호|pp. 13-16|DOI 10.17777/pjms.2010.13.1.002

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참고문헌

키워드

Euler numbers and polynomialsSymmetry
주제분류수학

초록

The purpose of this paper is to generalize this relation of symmetry be-tween the power sum polynomials and the generalized Euler polynomials to the relation between the power sum polynomials and the generalized higher-order Euler polynomials.

Abstract

The purpose of this paper is to generalize this relation of symmetry be-tween the power sum polynomials and the generalized Euler polynomials to the relation between the power sum polynomials and the generalized higher-order Euler polynomials.

참고문헌 (14)

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  3. L. C. Comtet, "Advanced Combinatories" (1974), Reidel
  4. E. Deeba, "Stirling's series and Bernoulli numbers", Amer. Math. Monthly, 98, pp.423~426 (1991)
  5. T. Kim, "A symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp, Russian", J. Math. Phys, 16, pp.51~54 (2009)
  6. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14, pp.1267~1277 (2008)
  7. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
  8. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  9. Y. H. Jang, "An analogue of Bernoulli numbers and their congruences", Proceedings of the Jangjeon Mathematical Society, 1, pp.133~144 (2000)
  10. V. Kurt, "Further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials", Appl. Math. Sciences, 3(56), pp.2357~2764 (2009)
  11. 장이채, "A study on the distribution of twisted q-Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.181~189 (2009), 장전수학회
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  14. K. Shiratani, "On a p-adic interpolation function for the Euler numbers and its derivatives", Mem. Fac. Sci., Kyushu University Ser. A, 39, pp.113~125 (1985)

관련 논문AI추천

Identities of symmetry for higher-order Euler polynomials in three variables (I)김대산, J. Y. Na, K. H. Park, N.R. Lee장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Identities of symmetry for higher-order -Euler polynomialsT. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제2호IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균, Bayad장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호

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