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Some relations between twisted q-Euler numbers and Bernstein polynomials

유천성
장전수학회 (Jangjeon Mathematical Society)|2011.04|Advanced Studies in Contemporary Mathematics|제21권 제2호|pp. 217-223

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참고문헌

키워드

Euler numbers and polynomialsBernstein polynomialsq-Euler numbers and polynomialstwisted q-Euler numbers and polynomials
주제분류수학

초록

Recently, Bayad-Kim-Lee-Rim introduced some interesting identities on the Bernstein and q-Euler polynomials(see [2]). Simsek have studied twisted q-Euler numbers and polynomials(see [12]). In this paper, we give some interesting relations between Bernstein polynomials and twisted q-Euler polynomials.

Abstract

Recently, Bayad-Kim-Lee-Rim introduced some interesting identities on the Bernstein and q-Euler polynomials(see [2]). Simsek have studied twisted q-Euler numbers and polynomials(see [12]). In this paper, we give some interesting relations between Bernstein polynomials and twisted q-Euler polynomials.

참고문헌 (15)

  1. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.255201~255211 (2010)
  2. A.Bayad, "Some identities on the Bernstein and q-Euler polynomials", arxiv:1101.2609, ~
  3. T.Kim, "On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials", J. Inequal. Appl, 2010, pp.12~ (2010)
  4. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russian Journal of Mathematical physics, 16, pp.484~491 (2009)
  5. T. Kim, "Note on the Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.131~136 (2008), 장전수학회
  6. T. Kim, "Note on the Euler q-zeta functions", Journal of Number Theory, 129, pp.1798~1804 (2009)
  7. T.Kim, "A note on the modified q-Bernstein polynomials", Discrete Dynamics in Nature and Society 2010, pp.12~ (2010)
  8. Y. Simsek, "A new generating function of q-Bernstein-type polynomials and their interpolation function", Abstract and Applied Analysis, pp.12~ (2010)
  9. L.C.Jang, "A study on the p-adic integral representation on Zp associated with Bernstein and Bernoulli polynomials", Advances in Difference Equations, 2010, pp.6~ (2010)
  10. T. Kim, "A note on q-Bernstein polynomials", Russian Journal of Mathematical physics
  11. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  12. 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
  13. T. Kim, "An analogue of Bernoulli numbers and their congruences", Rep. Fac. Sci. Engrg. Saga Univ. Math, 22, pp.21~26 (1994)
  14. S. Bernstein, "Demonstartion du theoreme de Weierstrass fondee sur le calcul des probabilites", Commun. Soc. Math, Kharkow, 13(2), pp.1~2 (1912)
  15. "Bernstein polynomials, On-Line: Geometric Modelling Notes"[URL]

관련 논문AI추천

Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호Some identities on the twisted (h, q)-Bernoulli numbers and polynomialsB. Lee, C. S. Ryoo, T. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A note on the weighted Carlitz’s type q-Euler numbers and q-Bernstein polynomials이선정, 임석훈, 정주희, 진종희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS김영희, 김태균, 이병제, 임석훈, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호

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