Hyers-Ulam Stability of Power Series Equations
We prove the Hyers-Ulam stability of power series equation ∑∞𝑛=0𝑎𝑛𝑥𝑛=0, where 𝑎𝑛 for 𝑛=0,1,2,3,… can be real or complex.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/194948 |
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| _version_ | 1850105301086240768 |
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| author | M. Bidkham H. A. Soleiman Mezerji M. Eshaghi Gordji |
| author_facet | M. Bidkham H. A. Soleiman Mezerji M. Eshaghi Gordji |
| author_sort | M. Bidkham |
| collection | DOAJ |
| description | We prove the Hyers-Ulam stability of power series equation ∑∞𝑛=0𝑎𝑛𝑥𝑛=0, where 𝑎𝑛 for 𝑛=0,1,2,3,… can be real or complex. |
| format | Article |
| id | doaj-art-3c91bbdcfe344333b46ba93ed7c1ff2c |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3c91bbdcfe344333b46ba93ed7c1ff2c2025-08-20T02:39:08ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/194948194948Hyers-Ulam Stability of Power Series EquationsM. Bidkham0H. A. Soleiman Mezerji1M. Eshaghi Gordji2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranWe prove the Hyers-Ulam stability of power series equation ∑∞𝑛=0𝑎𝑛𝑥𝑛=0, where 𝑎𝑛 for 𝑛=0,1,2,3,… can be real or complex.http://dx.doi.org/10.1155/2011/194948 |
| spellingShingle | M. Bidkham H. A. Soleiman Mezerji M. Eshaghi Gordji Hyers-Ulam Stability of Power Series Equations Abstract and Applied Analysis |
| title | Hyers-Ulam Stability of Power Series Equations |
| title_full | Hyers-Ulam Stability of Power Series Equations |
| title_fullStr | Hyers-Ulam Stability of Power Series Equations |
| title_full_unstemmed | Hyers-Ulam Stability of Power Series Equations |
| title_short | Hyers-Ulam Stability of Power Series Equations |
| title_sort | hyers ulam stability of power series equations |
| url | http://dx.doi.org/10.1155/2011/194948 |
| work_keys_str_mv | AT mbidkham hyersulamstabilityofpowerseriesequations AT hasoleimanmezerji hyersulamstabilityofpowerseriesequations AT meshaghigordji hyersulamstabilityofpowerseriesequations |