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

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...

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Main Authors: Araci, Serkan, Acikgoz, Mehmet, Kilicman, Adem
Format: Article
Language:English
Published: SpringerOpen 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30047/1/30047.pdf
http://psasir.upm.edu.my/id/eprint/30047/
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spelling my.upm.eprints.300472016-03-31T08:48:37Z http://psasir.upm.edu.my/id/eprint/30047/ Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus Araci, Serkan Acikgoz, Mehmet Kilicman, Adem 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. SpringerOpen 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30047/1/30047.pdf 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 10.1186/1687-1847-2013-96
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Araci, Serkan
Acikgoz, Mehmet
Kilicman, Adem
spellingShingle Araci, Serkan
Acikgoz, Mehmet
Kilicman, Adem
Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
author_facet Araci, Serkan
Acikgoz, Mehmet
Kilicman, Adem
author_sort Araci, Serkan
title Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
title_short Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
title_full Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
title_fullStr Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
title_full_unstemmed Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
title_sort extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
publisher SpringerOpen
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30047/1/30047.pdf
http://psasir.upm.edu.my/id/eprint/30047/
_version_ 1643829941221982208
score 13.211869

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