Citation
Araci, Serkan and Acikgoz, Mehmet and Kilicman, Adem
(2013)
Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus.
Advances in Difference Equations, 2013.
art. no. 96.
pp. 1-14.
ISSN 1687-1839; ESSN: 1687-1847
Abstract
The fundamental aim of this paper is to consider some applications of umbral calculus by utilizing from the extended p-adic q-invariant integral on ℤp. From those considerations, we derive some new interesting properties on the extended p-adic q-Bernoulli numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the p-adic q-Bernoulli polynomials are given in the present work.
Download File
|
![[img]](http://psasir.upm.edu.my/style/images/fileicons/application_pdf.png)
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/1687-1847-2013-96 |
| Publisher: | SpringerOpen |
| Keywords: | Appell sequence; Bernoulli numbers and polynomials; Formal power series; P-adic q-integral on ℤp; Sheffer sequence |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 19 Jun 2014 06:41 |
| Last Modified: | 31 Mar 2016 08:48 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2013-96 |
| URI: | http://psasir.upm.edu.my/id/eprint/30047 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |