참고문헌
-
S. Araci, D. Erdal, and J. J. Seo, A study on the fermionic p-adic q-integral representation on
$\mathbb{Z}_p$ associated with weighted q-Bernstein and q-Genocchi polynomials, Abstract and Applied Analysis, 2011 (2011), Article ID 649248, 10 pages. - S. Araci, J. J. Seo, and D. Erdal, New Construction weighted (h,q)-Genocchi numbers and polynomials related to Zeta type function, Discrete Dynamics in Nature and Society, 2011 (2011), Article ID 487490, 7 pages.
- S. Araci, M. Acikgoz, and Feng Qi, On the q-Genocchi numbers and polynomials with weight zero and their applications, Available at http://arxiv.org/abs/1202.2643
- S. Araci, Novel Identities for q-Genocchi Numbers and Polynomials, Journal of Function Spaces and Applications 2012 (2012), Article ID 214961, 13 pages.
- S. Araci, M. Acikgoz and J. J. Seo, Explicit formulas involving q-Euler numbers and polynomials, Abstract and Applied Analysis 2012 (2012), Article ID 298531, 11 pages (Article in press).
- Y. He and C. Wang, Some Formulae of Products of the Apostol-Bernoulli and Apostol-Euler Polynomials, Discrete Dynamics in Nature and Society 2012 (2012), Article ID 927953, 11 pages.
- T. Kim, Euler numbers and polynomials associated with Euler Zeta functions, Abstract and Applied Analysis 2008 (2008), Article ID 581582, 11 pages.
- T. Kim and S.-H. Lee, Some Properties on the q-Euler Numbers and Polynomials, Abstract and Applied Analysis 2012 (2012), Article ID 284826, 9 pages, 2012.
- D. Kim, T. Kim, S. -H. Lee, D. V. Dolgy, S.-H. Rim, Some new identities on the Bernoulli numbers and polynomials, Discrete Dynamics in Nature and Society 2011 (2011), Article ID 856132, 11 pages.
- T. Kim, J. Choi, and Y. H. Kim, Some identities on the q-Bernoulli numbers and polynomials with weight 0; Abstract And Applied Analysis 2011 (2011), Article ID 361484, 8 pages.
- T. Kim, On a q-analogue of the p-adic log gamma functions related integrals, J. Number Theory 76 (1999) no. 2, 320-329. https://doi.org/10.1006/jnth.1999.2373
- T. Kim, and J. Choi, On the q-Euler numbers and polynomials with weight 0, Abstract and Applied Analysis 2012 (2012), Article ID 795304, 7 pages..
- T. Kim, 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
- T. Kim, On the multiple q-Genocchi and Euler numbers, Russian J. Math. Phys. 15 (2008), no. 4, 481-486. https://doi.org/10.1134/S1061920808040055
- T. Kim, On the weighted q-Bernoulli numbers and polynomials, Advanced Studies in Contemporary Mathematics 21 (2011), no. 2, 207-215.
- T. Kim, q-Volkenborn integration, Russ. J. Math. phys. 9 (2002), 288-299.
- T. Kim, 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
- 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 - D. Kim, T. Kim, J. Choi, and Y. H. Kim, Identities involving q-Bernoulli and q- Euler numbers, Abstract and Applied Analysis 2012 (2012), Article ID 674210, 10 pages.
- C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, Advan. Stud. Contemp. Math. 21 (2011), 47-54.
- I. N. Cangul, V. Kurt, H. Ozden, and Y. Simsek, On the higher-order w-q-genocchi numbers, Advanced Studies in Contemporary Mathematics 19 (2009), no. 1, 39-57.
- M. Acikgoz, S. Araci and I. N. Cangul, A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration, Applied Mathematics and Computation 218 (2011), no. 3, 707-712.