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Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p

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Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p

Abstract

Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p

참고문헌 (12)

  1. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  2. 김대산, "Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.303~316 (2012), 장전수학회[DOI]
  3. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (II)", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.359~378 (2013), 장전수학회
  4. T. Kim, "Symmetry properties of the generalized higher-order Euler polyno-mials", Proc. Jangeon Math. Soc, 13(1), pp.13~16 (2010)
  5. 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
  6. T. Kim, "Some identities of symmetry for the extended higher-order q-Bernoulli polynomials of the second kind", Int. J. Math. Anal. (Ruse), 8(1-4), pp.127~134 (2014)
  7. T. Kim, "On the identities of symme-try for the generalized Bernoulli polynomials attached to χ of higher-order", J. Inequal. Appl, pp.7~ (2009)
  8. T. Kim, "Symmetry properties of higher-order Bernoulli polynomials", Adv. Difference Equ, pp.6~ (2009)
  9. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integrals on Zp", Russ. J. Math. Phys, 16(1), pp.93~96 (2009)
  10. T. Kim, "Symmetry p-adic invariant integrals on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14(12), pp.1267~1277 (2008)
  11. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  12. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회

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