References
- Araci, S., Erdal, D., and Kang, D-J., Some new properties on the q-Genocchi numbers and polynomials associated with q-Bernstein polynomials, Honam Mathematical Journal, vol. 33, no. 2, pp. 261-270, 2011. https://doi.org/10.5831/HMJ.2011.33.2.261
- Araci, S., and Acikgoz M., Some identities concerning (h; q)-Genocchi numbers and polynomials via the p-adic q-integral on Zp and q-Bernstein polynomials, (submitted)
- Jang, Lee-Chae., A note on some properties of the weighted q-Genocchi numbers and polynomials, Journal of Applied Mathematics(in press).
- Kim, T., A new approach to q-Zeta function, Adv. Stud. Contemp. Math. 11 (2) 157-162.
- Kim, T., On the q-extension of Euler and Genocchi numbers, J. Math. Anal. Appl. 326 (2007) 1458-1465. https://doi.org/10.1016/j.jmaa.2006.03.037
- Kim, T., On the multiple q-Genocchi and Euler numbers, Russian J. Math. Phys. 15 (4) (2008) 481-486. arXiv:0801.0978v1 [math.NT] https://doi.org/10.1134/S1061920808040055
- Kim, T., On the weighted q-Bernoulli numbers and polynomials, Advanced Studies in Contemporary Mathematics 21 (2011), no.2, p. 207-215 http://arxiv.org/abs/1011.5305.
- Kim, T., A Note on the q-Genocchi Numbers and Polynomials, Journal of Inequalities and Applications 2007 (2007) doi:10.1155/2007/71452. Article ID 71452, 8 pages.
- Kim, T., q-Volkenborn integration, Russ. J. Math. phys. 9(2002) ; 288-299.
- Kim, T., q-Bernoulli numbers and polynomials associated with Gaussian binomial coecients, Russ. J. Math. Phys. 15(2008) ; 51-57. https://doi.org/10.1134/S1061920808010068
-
Kim, T., An invariant p-adic q-integrals on
$Z_{p}$ , Applied Mathematics Letters, vol. 21, pp. 105-108,2008. https://doi.org/10.1016/j.aml.2006.11.011 - Kim, T. Choi, J. Kim, Y. H. and Jang, L. C., On p-Adic Analogue of q-Bernstein Polynomials and Related Integrals, Discrete Dynamics in Nature and Society, Article ID 179430, 9 pages, doi:10.1155/2010/179430.
- Kim, T., q-Euler numbers and polynomials associated with p-adic q-integrals, J. Nonlinear Math. Phys., 14 (2007), no. 1, 15-27. https://doi.org/10.2991/jnmp.2007.14.1.3
- Kim, T., New approach to q-Euler polynomials of higher order, Russ. J. Math. Phys., 17 (2010), no. 2, 218-225. https://doi.org/10.1134/S1061920810020068
-
Kim, T., Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on
$Z_{p}$ , Russ. J. Math. Phys., 16 (2009), no.4,484-491. https://doi.org/10.1134/S1061920809040037
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- ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS vol.28, pp.3, 2013, https://doi.org/10.4134/CKMS.2013.28.3.457