Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures
| ISSN: |
1432-0940
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|---|---|
| Keywords: |
Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12.
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
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| Notes: |
Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798295548427501568 |
|---|---|
| autor | Zygmunt, M. J. |
| autorsonst | Zygmunt, M. J. |
| book_url | http://dx.doi.org/10.1007/s003659900109 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM207351090 |
| issn | 1432-0940 |
| journal_name | Constructive approximation |
| materialart | 1 |
| notes | Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials. |
| package_name | Springer |
| publikationsjahr_anzeige | 1999 |
| publikationsjahr_facette | 1999 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1999 |
| publisher | Springer |
| reference | 15 (1999), S. 301-309 |
| schlagwort | Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. |
| search_space | articles |
| shingle_author_1 | Zygmunt, M. J. |
| shingle_author_2 | Zygmunt, M. J. |
| shingle_author_3 | Zygmunt, M. J. |
| shingle_author_4 | Zygmunt, M. J. |
| shingle_catch_all_1 | Zygmunt, M. J. Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials. 1432-0940 14320940 Springer |
| shingle_catch_all_2 | Zygmunt, M. J. Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials. 1432-0940 14320940 Springer |
| shingle_catch_all_3 | Zygmunt, M. J. Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials. 1432-0940 14320940 Springer |
| shingle_catch_all_4 | Zygmunt, M. J. Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12. Abstract. We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials. 1432-0940 14320940 Springer |
| shingle_title_1 | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| shingle_title_2 | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| shingle_title_3 | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| shingle_title_4 | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:37:57.230Z |
| titel | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| titel_suche | Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
| topic | SA-SP |
| uid | nat_lic_papers_NLM207351090 |