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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 865721, 12 pages
http://dx.doi.org/10.1155/2012/865721
Research Article

Applications of Umbral Calculus Associated with -Adic Invariant Integrals on

1Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
2Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

Received 8 November 2012; Accepted 22 November 2012

Academic Editor: Gaston N'Guerekata

Copyright © 2012 Dae San Kim and Taekyun Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Taekyun Kim, Dae San Kim, Toufik Mansour, Seog-Hoon Rim, and Matthias Schork, “Umbral calculus and Sheffer sequences of polynomials,” Journal of Mathematical Physics, vol. 54, no. 8, 2013. View at Publisher · View at Google Scholar
  • Toufik Mansour, Seog-Hoon Rim, and Sang-Hun Lee, “Apostol-Euler polynomials arising from umbral calculus,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Serkan Araci, Mehmet Acikgoz, and Erdoğan Şen, “On the extended Kimʼs p-adic q-deformed fermionic integrals in the p-adic integer ring,” Journal of Number Theory, vol. 133, no. 10, pp. 3348–3361, 2013. View at Publisher · View at Google Scholar
  • Serkan Araci, Mehmet Acikgoz, and Adem Kilicman, “Extended p-adic q-invariant integrals on Z(p) associated with applications of umbral calculus,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Dae San Kim, Taekyun Kim, Seog-Hoon Rim, and Dmitry V. Dolgy, “Sheffer sequences of polynomials and their applications,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar