Algorithmic work with orthogonal polynomials and special function:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1994
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1994,5 |
| Schlagwörter: | |
| Abstract: | Abstract: "In this article we present a method to implement orthogonal polynomials and many other special functions in Computer Algebra systems enabling the user to work with those functions appropriately, and in particular to verify different types of identities for those functions. Some of these identities like differential equations, power series representations, and hypergeometric representations can even [sic] dealt with algorithmically, i.e. they can be computed by the Computer Algebra system, rather than only verified. The types of functions that can be treated by the given technique cover the generalized hypergeometric functions, and therefore most of the special functions that can be found in mathematical dictionaries. The types of identities for which we present verification algorithms cover differential equations, power series representations, identities of the Rodrigues type, hypergeometric representations, and algorithms containing symbolic sums. The current implementations of special functions in existing Computer Algebra systems do not meet these high standards as we shall show in examples. They should be modified, and we show results of our implementations." |
| Umfang: | 40 S. |
Internformat
MARC
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| 035 | |a (DE-599)BVBBV009666496 | ||
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| 049 | |a DE-12 | ||
| 100 | 1 | |a Koepf, Wolfram |d 1953- |e Verfasser |0 (DE-588)136291279 |4 aut | |
| 245 | 1 | 0 | |a Algorithmic work with orthogonal polynomials and special function |c Wolfram Koepf |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1994 | |
| 300 | |a 40 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,5 | |
| 520 | 3 | |a Abstract: "In this article we present a method to implement orthogonal polynomials and many other special functions in Computer Algebra systems enabling the user to work with those functions appropriately, and in particular to verify different types of identities for those functions. Some of these identities like differential equations, power series representations, and hypergeometric representations can even [sic] dealt with algorithmically, i.e. they can be computed by the Computer Algebra system, rather than only verified. The types of functions that can be treated by the given technique cover the generalized hypergeometric functions, and therefore most of the special functions that can be found in mathematical dictionaries. The types of identities for which we present verification algorithms cover differential equations, power series representations, identities of the Rodrigues type, hypergeometric representations, and algorithms containing symbolic sums. The current implementations of special functions in existing Computer Algebra systems do not meet these high standards as we shall show in examples. They should be modified, and we show results of our implementations." | |
| 650 | 4 | |a Polynomials | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,5 |w (DE-604)BV004801715 |9 1994,5 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006392428 | |
Datensatz im Suchindex
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| author | Koepf, Wolfram 1953- |
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| bvnumber | BV009666496 |
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| id | DE-604.BV009666496 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:40:12Z |
| institution | BVB |
| language | English |
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| oclc_num | 32525446 |
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| owner_facet | DE-12 |
| physical | 40 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Koepf, Wolfram 1953- Verfasser (DE-588)136291279 aut Algorithmic work with orthogonal polynomials and special function Wolfram Koepf Berlin Konrad-Zuse-Zentrum für Informationstechnik 1994 40 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,5 Abstract: "In this article we present a method to implement orthogonal polynomials and many other special functions in Computer Algebra systems enabling the user to work with those functions appropriately, and in particular to verify different types of identities for those functions. Some of these identities like differential equations, power series representations, and hypergeometric representations can even [sic] dealt with algorithmically, i.e. they can be computed by the Computer Algebra system, rather than only verified. The types of functions that can be treated by the given technique cover the generalized hypergeometric functions, and therefore most of the special functions that can be found in mathematical dictionaries. The types of identities for which we present verification algorithms cover differential equations, power series representations, identities of the Rodrigues type, hypergeometric representations, and algorithms containing symbolic sums. The current implementations of special functions in existing Computer Algebra systems do not meet these high standards as we shall show in examples. They should be modified, and we show results of our implementations." Polynomials Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,5 (DE-604)BV004801715 1994,5 |
| spellingShingle | Koepf, Wolfram 1953- Algorithmic work with orthogonal polynomials and special function Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Polynomials |
| title | Algorithmic work with orthogonal polynomials and special function |
| title_auth | Algorithmic work with orthogonal polynomials and special function |
| title_exact_search | Algorithmic work with orthogonal polynomials and special function |
| title_full | Algorithmic work with orthogonal polynomials and special function Wolfram Koepf |
| title_fullStr | Algorithmic work with orthogonal polynomials and special function Wolfram Koepf |
| title_full_unstemmed | Algorithmic work with orthogonal polynomials and special function Wolfram Koepf |
| title_short | Algorithmic work with orthogonal polynomials and special function |
| title_sort | algorithmic work with orthogonal polynomials and special function |
| topic | Polynomials |
| topic_facet | Polynomials |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT koepfwolfram algorithmicworkwithorthogonalpolynomialsandspecialfunction |