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A new identities on the q-Bernoulli numbers and polynomials

T. Kim|C. S. Ryoo
장전수학회 (Jangjeon Mathematical Society)|2011.04|Advanced Studies in Contemporary Mathematics|제21권 제2호|pp. 161-169

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참고문헌

키워드

Bernoulli numbers and polynomialsBernstein polynomialsq-Bernoulli numbers and polynomialsq-Bernstein polynomials
주제분류수학

초록

Recently, q-Bernstein polynomials are introduced by T. Kim(see [3]). In this paper we investigate some arithmetic properties of q-Bernoulli numbers and polynomials related to q-Bernstein polynomials. From these properties we derive some new identities on the q-Bernoulli numbers and polynomials.

Abstract

Recently, q-Bernstein polynomials are introduced by T. Kim(see [3]). In this paper we investigate some arithmetic properties of q-Bernoulli numbers and polynomials related to q-Bernstein polynomials. From these properties we derive some new identities on the q-Bernoulli numbers and polynomials.

참고문헌 (13)

  1. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J, 15, pp.987~1000 (1948)
  2. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
  3. T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys, 18, pp.41~50 (2011)
  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", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  5. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
  6. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. phys. A : Math. Theor, 43, pp.255201~255211 (2010)
  7. T. Kim, "Remark on p-adic q-Bernoulli numbers", Adv. Stud. Contemp. Math, 1, pp.127~136 (1999)
  8. L.C.Jang, "A Study on the p-Adic Integral Representation on Z(p) Associated with Bernstein and Bernoulli Polynomials", ADVANCES IN DIFFERENCE EQUATIONS, pp.6~ (2010), Hindawi Publishing Corporation
  9. Y. Simsek, "On multiple interpolation function of the Norlund-type q-Euler polynomials", Abst. Appl. Anal, pp.14~ (2009)
  10. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  11. A. S. Hegazi, "A note on q-Bernoulli numbers and polynomials", J. Nonlinear Math. Phys, 13, pp.9~18 (2006)
  12. L.C.Jang, "A note on Norlund-type twisted q-Euler polynomials and numbers of higher order associated with fermionic invariant q-integrals", J. Inequal. Appl, 2010, pp.12~ (2010)
  13. S.-H.Rim, "On multiple interpolation function of the q-Genocchi polynomials", J. Inequal. Appl, 2010, pp.13~ (2010)

관련 논문AI추천

Some 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 제3호SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호Some identities on the Bernstein and q-Genocchi polynomials김현미대한수학회 · 대한수학회보2013 · 제50권 제4호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호SOME IDENTITIES FOR q-BERNOULLI NUMBERS AND POLYNOMIALS ARISING FROM q-BERNSTEIN POLYNOMIALS권종겸, 김대산, 장관우, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호

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