논문KCI 등재
q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_p
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In this paper, we investigate some properties of q-Bernoulli poly-nomials which are derived from p-adic invariant integral on Zp.
Abstract
In this paper, we investigate some properties of q-Bernoulli poly-nomials which are derived from p-adic invariant integral on Zp.
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)
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- J. Choi, "Arithmetic properties for the q-Bernoulli numbers and polynomials", Proc. Jangjeon Math. Soc., 15(2), pp.137~143 (2012)
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- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
- T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys., 15(1), pp.51~57 (2008)
- N. Koblitz, "On Carlitz’s q-Bernoulli numbers", J. Number Theory, 14(3), pp.332~339 (1982)
- L. C. Jang, "Non-Archimedean integration associated with q-Bernoulli numbers", Proc. Jangjeon Math. Soc., 5(2), pp.125~129 (2002)
- C. S. Ryoo, "A new identities on the q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.161~169 (2011), 장전수학회
- S. H. Rim, "On the modified q-Euler numbers of higher order with weight", Advanced Studies in Contemporary Mathematics, 22(1), pp.93~98 (2012), 장전수학회
- S. H. Rim, "p-adic q-integral representation on the p-adic integer ring" (2013), Kyungpook National Univ. Press
관련 논문AI추천
DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON ZpT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호SOME IDENTITIES FOR q-BERNOULLI NUMBERS AND POLYNOMIALS ARISING FROM q-BERNSTEIN POLYNOMIALS권종겸, 김대산, 장관우, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호Identities 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 제2호
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