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A note on q-genocchi numbers and Bernstein polynomials

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In this paper, we give some identities for q-Genocchi numbers and the fermionic p-adic invariant integral of Bernstein polynomials.

Abstract

In this paper, we give some identities for q-Genocchi numbers and the fermionic p-adic invariant integral of Bernstein polynomials.

참고문헌 (11)

  1. A. Bayad, "Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials", Russ. J. Math. Phys, 18, pp.133~143 (2011)
  2. A.Bayad, "Some identities on Bernstein polynomials assocaited with q-Euler polynomials", Abstr. Appl. Anal, pp.10~ (2011)
  3. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  4. T.Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys, 18(1), pp.73~82 (2011)
  5. T.Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16(4), pp.484~491 (2009)
  6. T.Kim, "Barnes-type multiple q-zeta function and q-Euler polynomials", J. Physics A: Math. Theor, 43, pp.255201~255211 (2010)
  7. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
  8. T.Kim, "On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials", J. Inequ. Appl, pp.12~ (2010)
  9. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  10. K.H.Park, "On some arithmetical properties of the Genocchi numbers and polynomials", Adv. Diff. Eqn, pp.14~ (2008)
  11. C.S.Ryoo, "On the Generalized q-Genocchi Numbers and Polynomials of Higher-Order", ADVANCES IN DIFFERENCE EQUATIONS, pp.8~ (2011), SPRINGER

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