Abstract and Applied Analysis

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Linked References

1. T. Kim, “$q$-Volkenborn integration,” Russian Journal of Mathematical Physics, vol. 9, no. 3, pp. 288–299, 2002. View at Google Scholar · View at Zentralblatt MATH
2. T. Kim, “On Euler-Barnes multiple zeta functions,” Russian Journal of Mathematical Physics, vol. 10, no. 3, pp. 261–267, 2003. View at Google Scholar · View at Zentralblatt MATH
3. T. Kim, “Barnes-type multiple $q$-zeta functions and $q$-Euler polynomials,” Journal of Physics A, vol. 43, no. 25, 11 pages, 2010. View at Publisher · View at Google Scholar
4. T. Kim, “An invariant $p$-adic $q$-integral on ${\mathbb{Z}}_p$,” Applied Mathematics Letters, vol. 21, no. 2, pp. 105–108, 2008. View at Publisher · View at Google Scholar
5. L.-C. Jang, T. Kim, D.-H. Lee, and D.-W. Park, “An application of polylogarithms in the analogs of Genocchi numbers,” Notes on Number Theory and Discrete Mathematics, vol. 7, no. 3, pp. 65–69, 2001. View at Google Scholar
6. L.-C. Jang, “On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals,” Journal of the Korean Mathematical Society, vol. 44, no. 1, pp. 1–10, 2007. View at Google Scholar
7. L.-C. Jang, “A study on the distribution of twisted $q$-Genocchi polynomials,” Advanced Studies in Contemporary Mathematics, vol. 18, no. 2, pp. 181–189, 2009. View at Google Scholar
8. C. S. Ryoo, “On the generalized Barnes type multiple $q$-Euler polynomials twisted by ramified roots of unity,” Proceedings of the Jangjeon Mathematical Society, vol. 13, no. 2, pp. 255–263, 2010. View at Google Scholar
9. C. S. Ryoo, “On the generalized Barnes type multiple $q$-Euler polynomials,” Proceedings of the Jangjeon Mathematical Society, vol. 13, no. 3, pp. 327–335, 2010. View at Google Scholar
10. V. Kurt and M. Cenkci, “A new approach to $q$-Genocchi numbers and polynomials,” Bulletin of the Korean Mathematical Society, vol. 47, no. 3, pp. 575–583, 2010. View at Publisher · View at Google Scholar
11. Y. Simsek, “On $p$-adic twisted $q\text{-}L$-functions related to generalized twisted Bernoulli numbers,” Russian Journal of Mathematical Physics, vol. 13, no. 3, pp. 340–348, 2006. View at Publisher · View at Google Scholar
12. S.-H. Rim and T. Kim, “A note on $p$-adic Euler measure on ${\mathbb{Z}}_p$,” Russian Journal of Mathematical Physics, vol. 13, no. 3, pp. 358–361, 2006. View at Publisher · View at Google Scholar
13. S.-H. Rim, K. H. Park, and E. J. Moon, “On Genocchi numbers and polynomials,” Abstract and Applied Analysis, vol. 2008, Article ID 898471, 7 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
14. T. Kim, “A note on $q$-Volkenborn integration,” Proceedings of the Jangjeon Mathematical Society, vol. 8, no. 1, pp. 13–17, 2005. View at Google Scholar
15. M. Domaratzki, “Combinatorial interpretations of a generalization of the Genocchi numbers,” Journal of Integer Sequences, vol. 7, 2004. View at Google Scholar · View at Zentralblatt MATH