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


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.


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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
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