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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30047/1/30047.pdf |
| _version_ | 1825947630106050560 |
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| author | Araci, Serkan Acikgoz, Mehmet Kilicman, Adem |
| author_facet | Araci, Serkan Acikgoz, Mehmet Kilicman, Adem |
| author_sort | Araci, Serkan |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:16:20Z |
| format | Article |
| id | upm.eprints-30047 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:16:20Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Araci, Serkan Acikgoz, Mehmet Kilicman, Adem Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/30047/1/30047.pdf |
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