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A STUDY ON THE q-EULER NUMBERS AND THE FERMIONIC q-INTEGRAL OF THE PRODUCT OF SEVERAL TYPE q-BERNSTEIN POLYNOMIALS ON Zp

김태균
장전수학회 (Jangjeon Mathematical Society)|2013.01|Advanced Studies in Contemporary Mathematics|제23권 제1호|pp. 1-4

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참고문헌

키워드

q-Euler numbersq-Bernstein polynomials11S8060C0505A30
주제분류수학

초록

In this paper, we investigate some properties between q-Bernstein polynomials and q-Euler numbers by using fermionic p-adic q-integrals on Zp. From these properties, we derive some interesting identities related to the q-Euler numbers.

Abstract

In this paper, we investigate some properties between q-Bernstein polynomials and q-Euler numbers by using fermionic p-adic q-integrals on Zp. From these properties, we derive some interesting identities related to the q-Euler numbers.

참고문헌 (12)

  1. S. Araci, "A study on the fermionic p-adic q-integral representation on Zp associated with weighted q-Bernstein and q-Genocchi polynomials", Abstr. Appl. Anal, pp.10~ (2011)
  2. T. Kim, "A note on q-Bernstein polynomials", Russ. J. Math. Phys, 18, pp.73~82 (2011)
  3. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.11~ (2010)
  4. T. Kim, "New approach to q-Euler polynomials of higher order", Russ. J. Math. Phys, 17, pp.218~225 (2010)
  5. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integral", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
  6. 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)
  7. Y. Simsek, "A new generating function of q-Bernstein-type polynomials and their interpolation function", Abstract and Applied Analysis, 2010, pp.12~ (2010)
  8. J. Jeong, "A note on the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic invariant integral on Zp", Abstr. Appl. Anal, pp.8~ (2012)
  9. T. Kim, "A note on the modified q-Bernstein polynomials", Discrete Dynamics in Nature and society, 2010, pp.13~ (2010)
  10. B. A. Kupershmidt, "Reflection symmetries of q-Bernoulli polynomials", J. Nonlinear Math. Phys, 12, pp.412~422 (2005)
  11. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integrals on Zp", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  12. Y. Simsek, "Construction a new generating function of Bernstein type polynomials", Appl. Math. Comput, 218, pp.1072~1076 (2011)

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 제2호ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS김영희, 김태균, 이병제, 임석훈, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호A note on p-adic integrals associated with Bernstein and q-Bernstein polynomials최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A note on q-genocchi numbers and Bernstein polynomialsT. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호SOME IDENTITIES FOR q-BERNOULLI NUMBERS AND POLYNOMIALS ARISING FROM q-BERNSTEIN POLYNOMIALS권종겸, 김대산, 장관우, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호

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