Approximation of Analytic Functions by Bessel's Functions of Fractional Order
We will solve the inhomogeneous Bessel's differential equation x2y″(x)+xy′(x)+(x2-ν2)y(x)=∑m=0∞amxm, where ν is a positive nonintegral number and apply this result for approximating analytic functions of a special type by the Bessel fu...
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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/10.1155/2011/923269 |
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| _version_ | 1832558375235223552 |
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| author | Soon-Mo Jung |
| author_facet | Soon-Mo Jung |
| author_sort | Soon-Mo Jung |
| collection | DOAJ |
| description | We will solve the inhomogeneous Bessel's differential equation x2y″(x)+xy′(x)+(x2-ν2)y(x)=∑m=0∞amxm, where ν is a positive nonintegral number and apply this result for
approximating analytic functions of a special type by the Bessel
functions of fractional order. |
| format | Article |
| id | doaj-art-2e16c06285554f88b1a706905985a895 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2e16c06285554f88b1a706905985a8952025-02-03T01:32:32ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/923269923269Approximation of Analytic Functions by Bessel's Functions of Fractional OrderSoon-Mo Jung0Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of KoreaWe will solve the inhomogeneous Bessel's differential equation x2y″(x)+xy′(x)+(x2-ν2)y(x)=∑m=0∞amxm, where ν is a positive nonintegral number and apply this result for approximating analytic functions of a special type by the Bessel functions of fractional order.http://dx.doi.org/10.1155/2011/923269 |
| spellingShingle | Soon-Mo Jung Approximation of Analytic Functions by Bessel's Functions of Fractional Order Abstract and Applied Analysis |
| title | Approximation of Analytic Functions by
Bessel's Functions of Fractional Order |
| title_full | Approximation of Analytic Functions by
Bessel's Functions of Fractional Order |
| title_fullStr | Approximation of Analytic Functions by
Bessel's Functions of Fractional Order |
| title_full_unstemmed | Approximation of Analytic Functions by
Bessel's Functions of Fractional Order |
| title_short | Approximation of Analytic Functions by
Bessel's Functions of Fractional Order |
| title_sort | approximation of analytic functions by bessel s functions of fractional order |
| url | http://dx.doi.org/10.1155/2011/923269 |
| work_keys_str_mv | AT soonmojung approximationofanalyticfunctionsbybesselsfunctionsoffractionalorder |