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Some identities of Bernoulli and Euler polynomials arising form umbral calculus

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In this paper, we give some interesting identities of Bernoulli and Euler polynomials which are derived from umbral calculus.

Abstract

In this paper, we give some interesting identities of Bernoulli and Euler polynomials which are derived from umbral calculus.

참고문헌 (14)

  1. S. Araci, "A study on the fuermionic p-adic q- integral represeintaition on Z p associatied with weighted q-Bernstein and q-Geonocchi polynomials", Abstr. Appl. Anal, 2011, pp.10~ (2011)
  2. S. Araci, "A unified generaiong function of the q-Geonocchi polynomials with their interpolation functions", Pro. Jangjeon Math. Soc, 15(2), pp.227~233 (2012)
  3. L. Carlitz, "Some remarks on the multiplication theorems for the Bernoulli and Euler polynomials", Glas. Mat. Ser. III, 16(1), pp.3~23 (1981)
  4. L. Carlitz, "Some polynomials related to the Bernoulli and Euler polyno- mials", Utilitas Math, 19, pp.81~127 (1981)
  5. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  6. 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
  7. R. Dere, "Applications of umbral algebra to some special polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.433~438 (2012), 장전수학회
  8. D. S. Kim, "Some formulae for the product of two Bernoulli and Euler polynomials", Abstr. Appl. Anal, pp.15~ (2012)
  9. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non- linear differential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)
  10. T. Kim, "Symmetry of power sum polynomials and multivariate ferminonic p-adic invariant integral on Z p", Russ. J. Math. Phys, 16(1), pp.93~96 (2009)
  11. S. H. Rim, "On the modified q-Euler numbers of higher order with weight", Advanced Studies in Contemporary Mathematics, 22(1), pp.93~98 (2012), 장전수학회
  12. S. Roman, "The umbral calculus" (2005), Dover Publ. Inc
  13. 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
  14. C. S. Ryoo, "Some relations between twisted q-Euler numbers and Bernstein polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.217~223 (2011), 장전수학회

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