Integral representation of the solutions to Heun's biconfluent equation
First, we trace the genesis of the canonical form of Heun's biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer G-functions, we give an integral representation of a fundamenta...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504306019 |
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doaj-06f442081b4e4c02aa7b7525a0f481b32020-11-25T00:58:22ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092004-01-012004429530610.1155/S1085337504306019Integral representation of the solutions to Heun's biconfluent equationS. Belmehdi0J.-P. Chehab1UFR de Mathematiques Pures et Appliquées, Université des Sciencesét Technologies de Lille, Villeneuve d'Ascq Cedex 59655, FranceUFR de Mathematiques Pures et Appliquées, Université des Sciencesét Technologies de Lille, Villeneuve d'Ascq Cedex 59655, FranceFirst, we trace the genesis of the canonical form of Heun's biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer G-functions, we give an integral representation of a fundamental system of solutions to the biconfluent equation.http://dx.doi.org/10.1155/S1085337504306019 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. Belmehdi J.-P. Chehab |
| spellingShingle |
S. Belmehdi J.-P. Chehab Integral representation of the solutions to Heun's biconfluent equation Abstract and Applied Analysis |
| author_facet |
S. Belmehdi J.-P. Chehab |
| author_sort |
S. Belmehdi |
| title |
Integral representation of the solutions to Heun's biconfluent
equation |
| title_short |
Integral representation of the solutions to Heun's biconfluent
equation |
| title_full |
Integral representation of the solutions to Heun's biconfluent
equation |
| title_fullStr |
Integral representation of the solutions to Heun's biconfluent
equation |
| title_full_unstemmed |
Integral representation of the solutions to Heun's biconfluent
equation |
| title_sort |
integral representation of the solutions to heun's biconfluent
equation |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2004-01-01 |
| description |
First, we trace the genesis of the canonical form of Heun's
biconfluent equation. Second, we present a method which allows us
to find an integral expression as a solution to our
equation, and finally, using the properties of Meijer
G-functions, we give an integral representation of a
fundamental system of solutions to the biconfluent equation. |
| url |
http://dx.doi.org/10.1155/S1085337504306019 |
| work_keys_str_mv |
AT sbelmehdi integralrepresentationofthesolutionstoheunsbiconfluentequation AT jpchehab integralrepresentationofthesolutionstoheunsbiconfluentequation |
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1725220349400842240 |