- Research Article
- Open access
- Published:
A Note on the-Genocchi Numbers and Polynomials
Journal of Inequalities and Applications volume 2007, Article number: 071452 (2007)
Abstract
We discuss new concept of the-extension of Genocchi numbers and give some relations between-Genocchi polynomials and-Euler numbers.
References
Cenkci M, Can M, Kurt V: -extensions of Genocchi numbers. Journal of the Korean Mathematical Society 2006,43(1):183–198.
Cenkci M, Can M: Some results on-analogue of the Lerch zeta function. Advanced Studies in Contemporary Mathematics 2006,12(2):213–223.
Howard FT: Applications of a recurrence for the Bernoulli numbers. Journal of Number Theory 1995,52(1):157–172. 10.1006/jnth.1995.1062
Kim T: A note on-Volkenborn integration. Proceedings of the Jangjeon Mathematical Society 2005,8(1):13–17.
Kim T: -Volkenborn integration. Russian Journal of Mathematical Physics 2002,9(3):288–299.
Kim T: A note on-adic invariant integral in the rings of-adic integers. Advanced Studies in Contemporary Mathematics 2006,13(1):95–99.
Kim T, Jang L-C, Pak HK: A note on-Euler and Genocchi numbers. Proceedings of the Japan Academy, Series A 2001,77(8):139–141. 10.3792/pjaa.77.139
Kim T: A note on some formulas for the-Euler numbers and polynomials. Proceedings of the Jangjeon Mathematical Society 2006, 9: 227–232.
Kim T, Choi JY, Sug JY: Extended-Euler numbers and polynomials associated with fermionic-adic-integrals on. Russian Journal of Mathematical Physics 2007, 14: 160–163. 10.1134/S1061920807020045
Kim T: The modified-Euler numbers and polynomials. 2006.http://arxiv.org/abs/math/0702523
Kim T: An invariant-adic-integral on. to appear in Applied Mathematics Letters to appear in Applied Mathematics Letters
Srivastava HM, Kim T, Simsek Y: -Bernoulli numbers and polynomials associated with multiple-zeta functions and basic-series. Russian Journal of Mathematical Physics 2005,12(2):241–268.
Schork M: Ward's "calculus of sequences",-calculus and the limit. Advanced Studies in Contemporary Mathematics 2006,13(2):131–141.
Kim T: On a-analogue of the-adic log gamma functions and related integrals. Journal of Number Theory 1999,76(2):320–329. 10.1006/jnth.1999.2373
Kim T: Non-Archimedean-integrals associated with multiple Changhee-Bernoulli polynomials. Russian Journal of Mathematical Physics 2003,10(1):91–98.
Kim T: On Euler-Barnes multiple zeta functions. Russian Journal of Mathematical Physics 2003,10(3):261–267.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Kim, T. A Note on the-Genocchi Numbers and Polynomials. J Inequal Appl 2007, 071452 (2007). https://doi.org/10.1155/2007/71452
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1155/2007/71452