Keyword Search:


Bookmark and Share

Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus

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

[img] PDF
Restricted to Repository staff only

287Kb

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.

Item Type:Article
Keyword:Appell sequence; Bernoulli numbers and polynomials; Formal power series; P-adic q-integral on ℤp; Sheffer sequence
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:SpringerOpen
DOI Number:10.1186/1687-1847-2013-96
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2013-96
ID Code:30047
Deposited By: Umikalthom Abdullah
Deposited On:19 Jun 2014 14:41
Last Modified:31 Mar 2016 16:48

Repository Staff Only: Edit item detail

Document Download Statistics

This item has been downloaded for since 19 Jun 2014 14:41.

View statistics for "Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus"