Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp
Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. From our properties, we can also derive some interesting identities of Ber...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/865721 |
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| _version_ | 1832547506532122624 |
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| author | Dae San Kim Taekyun Kim |
| author_facet | Dae San Kim Taekyun Kim |
| author_sort | Dae San Kim |
| collection | DOAJ |
| description | Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. From our properties, we can also derive some interesting identities of Bernoulli polynomials. |
| format | Article |
| id | doaj-art-53ba4b1793f34412881463c61c381a97 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-53ba4b1793f34412881463c61c381a972025-02-03T06:44:36ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/865721865721Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on ZpDae San Kim0Taekyun Kim1Department of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaRecently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. From our properties, we can also derive some interesting identities of Bernoulli polynomials.http://dx.doi.org/10.1155/2012/865721 |
| spellingShingle | Dae San Kim Taekyun Kim Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp Abstract and Applied Analysis |
| title | Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp |
| title_full | Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp |
| title_fullStr | Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp |
| title_full_unstemmed | Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp |
| title_short | Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp |
| title_sort | applications of umbral calculus associated with p adic invariant integrals on zp |
| url | http://dx.doi.org/10.1155/2012/865721 |
| work_keys_str_mv | AT daesankim applicationsofumbralcalculusassociatedwithpadicinvariantintegralsonzp AT taekyunkim applicationsofumbralcalculusassociatedwithpadicinvariantintegralsonzp |