A note on the modified q-Bernoulli polynomials

키워드

참고문헌 (19)

1. M. Acikoz, "A new approach to q-Bernoulli numbers and q-Bernoulli polynomials related to q-Bernstein polynomials", Adv. Dierece Equ., 9~ (2010)
2. A. Bayad, "Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials", Russ. J. Math. Phys., 18(2), pp.133~143 (2011)
3. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc., 76, pp.332~350 (1954)
4. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
5. 최종성, "Arithmetic properties for the q-Bernoulli numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(2), pp.137~143 (2012), 장전수학회
6. J. Choi, "A note on the extended q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(4), pp.351~354 (2011), 장전수학회
7. 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
8. T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
9. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coeffcients", Russ. J. Math. Phys., 15(1), pp.5~ (2008)
10. T. Kim, "Sums of product of q-Bernoulli numbers", Arch. Math., 76, pp.190~195 (2001)
11. T. Kim, "On q-analogye of the p-adic log gamma functions and related integral", J. Number Theory, 76(2), pp.320~329 (1999)
12. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear dierential equations", J. Number Theory, 132(12), pp.2854~2865 (2012)
13. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
14. T. Kim, "A family of (h; q)ㅡ-zeta function associated with (h; q)-Bernoulli numbers and poly- nomials", J. Comput. Anal. Appl., 14(3), pp.402~409 (2012)
15. T. Kim, "A note on p-adic Carlitz's q-Bernoulli numbers Bull", Austral. Math. Soc., 62, pp.227~234 (2000)
16. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
17. S. H. Rim, "Some identities on the extended Carlitz's q-Bernoulli numbers and polynomials", J. Comput. Anal. Appl., 14(3), pp.536~543 (2012)
18. 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
19. 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

관련 논문AI추천