New solutions of the confluent Heun equation
New compact triple series solutions of the confluent Heun equation (CHE) are obtained by the appropriate applications of the Laplace transform and its inverse to a suitably constructed system of soluble differential equations. The computer-algebra package MAPLE V is used to tackle an auxiliary syste...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1998-05-01
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| Series: | Le Matematiche |
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| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/352 |
| _version_ | 1828877158400917504 |
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| author | Harold Exton |
| author_facet | Harold Exton |
| author_sort | Harold Exton |
| collection | DOAJ |
| description | New compact triple series solutions of the confluent Heun equation (CHE) are obtained by the appropriate applications of the Laplace transform and its inverse to a suitably constructed system of soluble differential equations. The computer-algebra package MAPLE V is used to tackle an auxiliary system of non-linear algebraic equations. This study is partly motivated by the relationship between the CHE and certain Schrödininger equations.<br /> |
| first_indexed | 2024-12-13T08:35:17Z |
| format | Article |
| id | doaj.art-c74b2305dea849dc8c29cddd6ebdc33a |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-13T08:35:17Z |
| publishDate | 1998-05-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-c74b2305dea849dc8c29cddd6ebdc33a2022-12-21T23:53:39ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981998-05-015311120328New solutions of the confluent Heun equationHarold ExtonNew compact triple series solutions of the confluent Heun equation (CHE) are obtained by the appropriate applications of the Laplace transform and its inverse to a suitably constructed system of soluble differential equations. The computer-algebra package MAPLE V is used to tackle an auxiliary system of non-linear algebraic equations. This study is partly motivated by the relationship between the CHE and certain Schrödininger equations.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/352Confluent HeunGlobal solution |
| spellingShingle | Harold Exton New solutions of the confluent Heun equation Le Matematiche Confluent Heun Global solution |
| title | New solutions of the confluent Heun equation |
| title_full | New solutions of the confluent Heun equation |
| title_fullStr | New solutions of the confluent Heun equation |
| title_full_unstemmed | New solutions of the confluent Heun equation |
| title_short | New solutions of the confluent Heun equation |
| title_sort | new solutions of the confluent heun equation |
| topic | Confluent Heun Global solution |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/352 |
| work_keys_str_mv | AT haroldexton newsolutionsoftheconfluentheunequation |