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A note on the product of Frobenius-Euler ploynormials arising from the p-adic integral on Z_p

T. Kim|최종성
장전수학회 (Jangjeon Mathematical Society)|2012.04|Advanced Studies in Contemporary Mathematics|제22권 제2호|pp. 215-223|DOI http://dx.doi.org/

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참고문헌

키워드

p-adic integralFrobenius- Euler polynomials
주제분류수학

초록

We give simple identities on the product of Frobenius-Euler polynomials and numbers arising from the p-adic integral on Zp

Abstract

We give simple identities on the product of Frobenius-Euler polynomials and numbers arising from the p-adic integral on Zp

참고문헌 (21)

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  5. L. Carlitz, "Note on the integral of the product of several Bernoulli polynomials", Journal of the Londen Mathematical Society, 34, pp.361~363 (1959)
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  7. H. Cohen, "Number Theory II, Analytic and Modern tools, Graduate Texts in Mathe- matics", pp.240~ (2007), Springer
  8. T. Kim, "Some identity 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.93~96 (2009)
  9. T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
  10. T. Kim, "An identity of symmetry for the generalized Euler polynomials", J. Comput. Anal. Appl, 13, pp.1292~1296 (2011)
  11. T. Kim, "On the q-Bernoulli numbers and polynomials with weight α", Abstr. Appl. Anal, pp.14~ (2011)
  12. T. Kim, "On q-Bernoulli and q-Hermite polynomials", Proc. Jangjeon. Math. Soc, 14, pp.215~221 (2011)
  13. Q.-M. Luo, "Some recursion formulae and relations for Bernoulli numbers and Euler numbers of higher order", Adv. Stud. Contemp. Math, 10, pp.63~70 (2005)
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  16. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회
  17. C. S. Ryoo, "On the generalized Barnes' type multiple q-Euler polynomials twisted by rami ed roots of unity", Proc. Jangjeon Math. Soc, 13, pp.255~263 (2010)
  18. C. S. Ryoo, "Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials", Proc. Jangjeon Math. Soc, 14, pp.139~248 (2011)
  19. 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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  21. 유천성, "A numerical investigation on the structure of the roots of the twisted q-Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(1), pp.131~141 (2009), 장전수학회

관련 논문AI추천

Identities for the Bernoulli and Euler numbers arising from the P-adic integral on Z_p김대산, 김태균, 김현미, 이병제, 이상훈, 임석훈, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호Some arithmetic properties of Bernoulli and Euler numbers김대산, 김영희, S. H. LEE, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculusD.S. Kim, H.Y. Lee, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호

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