Pythagorean identity for polyharmonic polynomials
Polyharmonic polynomials in n variables are shown to satisfy a Pythagorean identity on the unit hypersphere. Application is made to establish the convergence of series of polyharmonic polynomials.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202003393 |
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| _version_ | 1832552557119012864 |
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| author | Allan Fryant Murali Krishna Vemuri |
| author_facet | Allan Fryant Murali Krishna Vemuri |
| author_sort | Allan Fryant |
| collection | DOAJ |
| description | Polyharmonic polynomials in n variables are shown to satisfy a
Pythagorean identity on the unit hypersphere. Application is made
to establish the convergence of series of polyharmonic
polynomials. |
| format | Article |
| id | doaj-art-35d2b83552d049ff96a028da0e8e787e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-35d2b83552d049ff96a028da0e8e787e2025-02-03T05:58:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129211511910.1155/S0161171202003393Pythagorean identity for polyharmonic polynomialsAllan Fryant0Murali Krishna Vemuri1603F Simpson Street, Greensboro 27401, NC, USADepartment of Mathematics, Syracuse University, Syracuse 13244, NY, USAPolyharmonic polynomials in n variables are shown to satisfy a Pythagorean identity on the unit hypersphere. Application is made to establish the convergence of series of polyharmonic polynomials.http://dx.doi.org/10.1155/S0161171202003393 |
| spellingShingle | Allan Fryant Murali Krishna Vemuri Pythagorean identity for polyharmonic polynomials International Journal of Mathematics and Mathematical Sciences |
| title | Pythagorean identity for polyharmonic polynomials |
| title_full | Pythagorean identity for polyharmonic polynomials |
| title_fullStr | Pythagorean identity for polyharmonic polynomials |
| title_full_unstemmed | Pythagorean identity for polyharmonic polynomials |
| title_short | Pythagorean identity for polyharmonic polynomials |
| title_sort | pythagorean identity for polyharmonic polynomials |
| url | http://dx.doi.org/10.1155/S0161171202003393 |
| work_keys_str_mv | AT allanfryant pythagoreanidentityforpolyharmonicpolynomials AT muralikrishnavemuri pythagoreanidentityforpolyharmonicpolynomials |