References
- M. Cenkci, M. Can, V. Kurt, q-adic interpolation functions and kummer type congruence for q-twisted and q-generalized twisted Euler numbers, Adv. Stud. Contemp. Math. 2004 (9), 203-216.
- M. Can, M. Cenkci, V. Kurt, Y. Simsek, Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler l-functions, Adv. Stud. Contemp. Math. 18 (2009), no. 2, 135-160.
- A. Bayad, Modular properties of elliptic Bernoulli and Euler functions, Adv. Stud. Contemp. Math. 20 (2010), no. 3, 389-401.
- A. Bayad, T. Kim, Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials, Russ. J. Math. Phys., 18(2011), no. 2, 133-143. https://doi.org/10.1134/S1061920811020014
- T. Kim, An analogus of Bernoulli numbers and their applications, Rep. Fac. Sci. Engrg. Saga Univ. Math., 22(1994 ), 21-26.
- T. Kim, On q-extention of Euler and Genocchi numbers, Journal of Mathematical Analysis and Applications, 326(2007), 1458-1465. https://doi.org/10.1016/j.jmaa.2006.03.037
- T. Kim, q-Volkenborn integration, Russ. J. Math. Phys., 9(2002), no.3, 288-299.
- T. Kim, q-Euler numbers and polynomials associated with p-adic q-integrals, J. Nonlinear Math. Phys. 14 (2007), 15-27. https://doi.org/10.2991/jnmp.2007.14.1.3
-
T. Kim, J. Choi, Y. H. Kim, C. S. Ryoo, A Note on the weighted p-adic q-Euler measure on
$\mathbb{Z}_{p}$ , Adv. Stud. Contemp. Math., 21 (2011), 35-40. -
T. Kim, A. Bayad, Y. H. Kim, A study on the p-adic q-integral representation on
$\mathbb{Z}_{p}$ associated with the weighted q-Bernoulli polynomials, J. Inequal. Appl., 2011, Art. ID 513821, 8 pp. - T. Kim, 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
-
T. Kim, Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on
$\mathbb{Z}_p$ , Russ. J. Math. Phys., 16 (2009), no. 4, 484-491. https://doi.org/10.1134/S1061920809040037 - T. Kim, Barnes-type multiple q-zeta functions and q-Euler polynomials, J. Phys. A, 43 (2010), no. 25, 255201, 11 pp.
- T. Kim, A note on q-Bernstein polynomials, Russ. J. Math. Phys., 18(2011), no.1, 73-82. https://doi.org/10.1134/S1061920811010080
- T. Kim, B. Lee, J. Choi, Y. H. Kim, A new approach of q-Euler numbers and polynomials, Proc. Janjeon Math. Soc., 14(2011), 7-14.
- T. Kim, On the multiple q-Genocchi and Euler numbers, Russ. J. Math. Phys, 15(2008), no.4, 481-486. https://doi.org/10.1134/S1061920808040055
- H. Ozden, Y. Simsek, S.-H. Rim, I. N. Cangul, A note on p-adic q-Euler measure, Adv. Stud. Contemp. Math. 14 (2007), no. 2, 233-239.
-
S.-H. Rim, E.-J. Moon, S.-J. Lee, J.-H. Jin, Multivariate twisted p-adic q-integral on
$\mathbb{Z}_p$ associated with twisted q-Bernoulli polynomials and numbers, J. Inequal. Appl., 2010, Art. ID 579509, 6 pp. -
S. H. Rim, T. Kim, A note on p-adic Euler measure on
$\mathbb{Z}_p$ , Russ. J. Math. Phys. 13(2006), no. 3, 358-361 https://doi.org/10.1134/S1061920806030113 - H. M. Srivastava, T. Kim, Y. Simsek, q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series, Russ. J. Math. Phys, 12(2005), no.2, 241-268.
- Y. Simsek, Theorem on twisted L-function and twisted Bernoulli numbers, Adv. Stud. Contemp. Math., 12(2006), 237-246.
- Y. Simsek, Special functions related to Dedekind-type DC-sums and their applications, Russ. J. Math. Phys., 17(2010), no.4, 495-508. https://doi.org/10.1134/S1061920810040114