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Arithmetic properties for the q-Bernoulli numbers and polynomials
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In this paper we study some arithmetic properties for the q-Bernoulli numbers and polynomials arising from the generating functions. From those prop-erties, we derive some identities on the q-Bernoulli numbers and polynomials.
Abstract
In this paper we study some arithmetic properties for the q-Bernoulli numbers and polynomials arising from the generating functions. From those prop-erties, we derive some identities on the q-Bernoulli numbers and polynomials.
참고문헌 (13)
- S. Araci, "A study on the fermionic p-adic q-integral on Zp associated with weighted q-Bernstein and q-Genocchi polynomials", Abstr. Appl. Anal, pp.11~ (2011)
- Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
- Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
- 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
- G. Kim, "The DC algorithm for computing sums of powers of consecutive integers and Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 17(2), pp.137~145 (2008), 장전수학회
- T. Kim, "An analogue of Bernoulli numbers and their congruences", Rep. Fac. Sci. Eng. Saga Univ. Math, 22, pp.21~26 (1994)
- T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
- Q.-M. Luo, "Some recursion formulae and relations for Bernoulli numbers and Euler numbers of higher order", Adv. Stud. Contemp. Math, 10, pp.63~70 (2005)
- Q.-M. Luo, "Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynimials", Adv. Stud. Con- temp. Math, 7, pp.11~18 (2003)
- A. Kudo, "Congruence of generalized Bernoulli numbers for the character of the rst kind", Adv. Stud. Contemp. Math, 2, pp.1~8 (2000)
- H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
- Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
- Y. Simsek, "Theorems on twisted L-function and twisted Bernoulli numbers", Adv. Stud. Contemp. Math, 11, pp.205~218 (2005)
관련 논문AI추천
A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호q-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 제3호Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호Some identities on the twisted (h, q)-Bernoulli numbers and polynomialsB. Lee, C. S. Ryoo, T. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호
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