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Some arithmetic identities on Bernoulli and Euler numbers arising from the -adic integrals on
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this paper we investigate some arithmetic identities on Bernoulli and Euler num-bers by using bosonic and fermionic p-adic integrals on Z_p.
Abstract
this paper we investigate some arithmetic identities on Bernoulli and Euler num-bers by using bosonic and fermionic p-adic integrals on Z_p.
참고문헌 (10)
- Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
- M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
- H. Cohen, "Number Theory II", Graduate Text in Mathematics, 239 (2007), Springer
- D. V. Dolgy, "On the q-analogue of Euler measure with weight α", Advanced Studies in Contemporary Mathematics, 21(4), pp.429~435 (2011), 장전수학회
- K. W. Hwang, "Some theorems on Bernoulli and Euler numbers", ~
- D. S. Kim, "Identities of symmetry for generalized Euler polynomials", Int. J. Combinatorics, pp.12~ (2011)
- D. S. Kim, "Some new identities on the Bernoulli and Euler numbers", Discrete Dynamics in Nature and Society, pp.11~ (2011)
- 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)
- H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
- 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
Identities for the Bernoulli and Euler numbers arising from the P-adic integral on Z_p김대산, 김태균, 김현미, 이병제, 이상훈, 임석훈, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호Some arithmetic properties of Bernoulli and Euler numbers김대산, 김영희, S. H. LEE, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호SYMMETRY IDENTITIES OF DEGENERATE EULER POLYNOMIALST. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호A 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 제1호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호
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