논문KCI 등재
On the Modified q-Euler Numbers and Polynomials withWeak Weight 0
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In this paper, we construct new q-extension of Euler polynomials with weight0. These modified q-Euler polynomials are useful to study various identities of Carlitz’s q-Bernoulli numbers.
Abstract
In this paper, we construct new q-extension of Euler polynomials with weight0. These modified q-Euler polynomials are useful to study various identities of Carlitz’s q-Bernoulli numbers.
참고문헌 (12)
- A. Bayad, "Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials", Russ. J. Math. Phys., 18(2), pp.133~143 (2011)
- L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
- Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
- K. W. Hwang, "A note on (h; q)-Genocchi poly-nomials and numbers of higher order", Adv. Diff. Equ., 2010, pp.6~ (2010)
- T. Kim, "New approach to q-Euler polynomials of higher order", Russ. J. Math. Phys., 17(2), pp.218~225 (2010)
- T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
- T. Kim, "Barnes-type multiple q-zeta functions and q-Euler polynomials", J. Phys. A, 43(25), pp.11~ (2010)
- T. Kim, "On q-analogye of the p-adic log gamma functions and related integral", J. Number Theory, 76(2), pp.320~329 (1999)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear dif-ferential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)
- 김태균, "ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 21(1), pp.13~18 (2011), 장전수학회
- J. Seo, "A note on the new approach to q-Bernoulli polynomials", Appl. Math. Sci., 7(94), pp.4675~4680 (2013)
관련 논문AI추천
A 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 TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 임석훈, 정주희, 진정희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호A note on the modified q-Bernoulli polynomials권종겸, 박진우, 서종진, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호On the (w,q)-Euler numbers and polynomials with weight α김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호
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