The Integration of a Class of Special Functions with the Risch Algorithm
We indicate how to extend the Risch algorithm to handle a class of special functions defined in terms of integrals. Most of the integration machinery for this class of functions is similar to the machinery in the algorithm which handles logarithms. A program embodying much of the extended integratio...
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6181 |
| _version_ | 1811094048432193536 |
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| author | Moses, Joel |
| author_facet | Moses, Joel |
| author_sort | Moses, Joel |
| collection | MIT |
| description | We indicate how to extend the Risch algorithm to handle a class of special functions defined in terms of integrals. Most of the integration machinery for this class of functions is similar to the machinery in the algorithm which handles logarithms. A program embodying much of the extended integration algorithm has been written. It was used to check a table of integrals and it succeeded in finding some misprints in it. |
| first_indexed | 2024-09-23T15:54:19Z |
| id | mit-1721.1/6181 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:54:19Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/61812019-04-11T07:57:54Z The Integration of a Class of Special Functions with the Risch Algorithm Moses, Joel We indicate how to extend the Risch algorithm to handle a class of special functions defined in terms of integrals. Most of the integration machinery for this class of functions is similar to the machinery in the algorithm which handles logarithms. A program embodying much of the extended integration algorithm has been written. It was used to check a table of integrals and it succeeded in finding some misprints in it. 2004-10-04T14:44:23Z 2004-10-04T14:44:23Z 1969-09-01 AIM-180 http://hdl.handle.net/1721.1/6181 en_US AIM-180 5622471 bytes 323987 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Moses, Joel The Integration of a Class of Special Functions with the Risch Algorithm |
| title | The Integration of a Class of Special Functions with the Risch Algorithm |
| title_full | The Integration of a Class of Special Functions with the Risch Algorithm |
| title_fullStr | The Integration of a Class of Special Functions with the Risch Algorithm |
| title_full_unstemmed | The Integration of a Class of Special Functions with the Risch Algorithm |
| title_short | The Integration of a Class of Special Functions with the Risch Algorithm |
| title_sort | integration of a class of special functions with the risch algorithm |
| url | http://hdl.handle.net/1721.1/6181 |
| work_keys_str_mv | AT mosesjoel theintegrationofaclassofspecialfunctionswiththerischalgorithm AT mosesjoel integrationofaclassofspecialfunctionswiththerischalgorithm |