On the Higher Power Sums of Reciprocal Higher-Order Sequences
Let {un} be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/521358 |
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| _version_ | 1832562602339729408 |
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| author | Zhengang Wu Jin Zhang |
| author_facet | Zhengang Wu Jin Zhang |
| author_sort | Zhengang Wu |
| collection | DOAJ |
| description | Let {un} be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite sums. |
| format | Article |
| id | doaj-art-5a41735d882342dcb630387e87fc9f4b |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5a41735d882342dcb630387e87fc9f4b2025-02-03T01:22:15ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/521358521358On the Higher Power Sums of Reciprocal Higher-Order SequencesZhengang Wu0Jin Zhang1Department of Mathematics, Northwest University, Xi'an, Shaanxi, ChinaSchool of Mathematics and Computer Engineering, Xi'an University of Arts and Science, Xi'an, Shaanxi, ChinaLet {un} be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite sums.http://dx.doi.org/10.1155/2014/521358 |
| spellingShingle | Zhengang Wu Jin Zhang On the Higher Power Sums of Reciprocal Higher-Order Sequences The Scientific World Journal |
| title | On the Higher Power Sums of Reciprocal Higher-Order Sequences |
| title_full | On the Higher Power Sums of Reciprocal Higher-Order Sequences |
| title_fullStr | On the Higher Power Sums of Reciprocal Higher-Order Sequences |
| title_full_unstemmed | On the Higher Power Sums of Reciprocal Higher-Order Sequences |
| title_short | On the Higher Power Sums of Reciprocal Higher-Order Sequences |
| title_sort | on the higher power sums of reciprocal higher order sequences |
| url | http://dx.doi.org/10.1155/2014/521358 |
| work_keys_str_mv | AT zhengangwu onthehigherpowersumsofreciprocalhigherordersequences AT jinzhang onthehigherpowersumsofreciprocalhigherordersequences |