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On the Barnes' type multiple Euler polynomials

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Using fermionic p-adic invariant integral on Zp, we study Barnes' type multiple Euler numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Euler numbers and polynomials.

Abstract

Using fermionic p-adic invariant integral on Zp, we study Barnes' type multiple Euler numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Euler numbers and polynomials.

참고문헌 (11)

  1. T. Kim, "On Euler-Barnes multiple zeta function", Russ. J. Math. Phys., 10, pp.261~267 (2003)
  2. T. Kim, "Barnes-type multiple q-zeta functions and q-Euler polynomials", J. Phys. A : Math. Theor., 43, pp.255201~ (2010)
  3. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9, pp.288~299 (2002)
  4. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  5. 장이채, "A study on the distribution of twisted q-Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.181~189 (2009), 장전수학회
  6. L. C. Jang, "On Witt's formula for the Barnes' multiple Bernoulli polynomials", Far East J. Math. Sci., 13, pp.309~317 (2004)
  7. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  8. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  9. K. Shiratani, "On a p-adic interpolation function for the Euler numbers and its derivatives", Mem. Fac. Sci. Kyushu Univ. A, 39, pp.113~125 (1985)
  10. K. Ota, "On Kummer type congruences for derivatives of Bernes multiple polynomi-als", J. Number Theory, 92, pp.1~36 (2002)
  11. 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, pp.484~491 (2009)

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