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Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials
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In this paper we investigate some interesting relationship between the q-Bernstein polynomials and the twisted q-Euler numbers by using fermionic p-adic q-integral on Zp.
Abstract
In this paper we investigate some interesting relationship between the q-Bernstein polynomials and the twisted q-Euler numbers by using fermionic p-adic q-integral on Zp.
참고문헌 (14)
- T. Kim, "q Euler numbers and polynomials associated with p adic q integrals", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
- 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)
- T. Kim, "Barnes type multiple q zeta function and q Euler polynomials", J. phys. A : Math. Theor, 43(255201), pp.11~ (2010)
- T. Kim, "note on q Bernstein polynomials", Russ. J. Math. phys, 18, pp.41~50 (2011)
- T. Kim, "q Volkenborn integration", Russ. J. Math. phys, 9, pp.288~299 (2002)
- T. Kim, "q Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2008)
- T. Kim, "On the fermionic p adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials", J. Inequal. Appl, 12 (2010)
- 김태균, "A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(1), pp.7~14 (2011), 장전수학회
- 김태균, "SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS", Advanced Studies in Contemporary Mathematics, 20(3), pp.335~341 (2010), 장전수학회
- 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
- T. Kim, "Note on the Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.131~136 (2008), 장전수학회
- 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)
- C. S. Ryoo, "On the generalized Barnes type multiple q Euler polynomials twisted by ramified roots of unity", Proc. Jangjeon Math. Soc, 통권 : 13, pp.255~263 (2010)
- 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회
관련 논문AI추천
ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS김영희, 김태균, 이병제, 임석훈, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호A STUDY ON THE q-EULER NUMBERS AND THE FERMIONIC q-INTEGRAL OF THE PRODUCT OF SEVERAL TYPE q-BERNSTEIN POLYNOMIALS ON Zp김태균장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Some relations between twisted q-Euler numbers and Bernstein polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 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 제3호A note on p-adic integrals associated with Bernstein and q-Bernstein polynomials최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호
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