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A note on the weighted q-Euler numbers and polynomials

유천성
장전수학회 (Jangjeon Mathematical Society)|2011.01|Advanced Studies in Contemporary Mathematics|제21권 제1호|pp. 47-54

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참고문헌

키워드

Euler numbers and polynomialsq-Euler numbers and polynomialsweighted q-Euler numbers and polynomials
주제분류수학

초록

In this paper we consider a new type of q-Euler numbers and polynomials with fixed weight α. We call them q-Euler numbers with weight α. We establish many interesting identities and relations satisfied by these new numbers and polynomials.

Abstract

In this paper we consider a new type of q-Euler numbers and polynomials with fixed weight α. We call them q-Euler numbers with weight α. We establish many interesting identities and relations satisfied by these new numbers and polynomials.

참고문헌 (12)

  1. 김태균, "On extended Carlitz’'s type q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 20(4), pp.499~505 (2010), 장전수학회
  2. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
  3. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
  4. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  5. 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)
  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, "A note on the modified q-Bernstein polynomials", Discrete Dynamics in Nature and Society 2010, pp.12~ (2010)
  8. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  9. B. A. Kupershmidt, "Reflection symmetries of q-Bernoulli polynomials", J. Nonlinear Math. Phys, 12, pp.412~422 (2005)
  10. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2008)
  11. V. Kurt, "A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials", Appl. Math. Sci, 3, pp.53~56 (2009)
  12. 유천성, "On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(2), pp.255~263 (2010), 장전수학회

관련 논문AI추천

On the weighted q-Bernoulli numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호On the (w,q)-Euler numbers and polynomials with weight α김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호A note on the modified q-Euler numbers and polynomials with weight김영희, 김태균, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호On the Modified q-Euler Numbers and Polynomials withWeak Weight 0권종겸, 박진우, 임석훈, 표성수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호ON THE TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 임석훈, 정주희, 진정희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호

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