On Fractional Orthonormal Polynomials of a Discrete Variable
A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/141325 |
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| _version_ | 1832568290848800768 |
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| author | I. Area J. D. Djida J. Losada Juan J. Nieto |
| author_facet | I. Area J. D. Djida J. Losada Juan J. Nieto |
| author_sort | I. Area |
| collection | DOAJ |
| description | A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented. |
| format | Article |
| id | doaj-art-62b8f8b1473a4866bb5c74c73a687cf5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-62b8f8b1473a4866bb5c74c73a687cf52025-02-03T00:59:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/141325141325On Fractional Orthonormal Polynomials of a Discrete VariableI. Area0J. D. Djida1J. Losada2Juan J. Nieto3Departamento de Matemática Aplicada II, E.E. Telecomunicación, Universidade de Vigo, 36310 Vigo, SpainAfrican Institute for Mathematical Sciences (AIMS), Limbe Crystal Gardens, P.O. Box 608, Southwest Region, CameroonFacultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainFacultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainA fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.http://dx.doi.org/10.1155/2015/141325 |
| spellingShingle | I. Area J. D. Djida J. Losada Juan J. Nieto On Fractional Orthonormal Polynomials of a Discrete Variable Discrete Dynamics in Nature and Society |
| title | On Fractional Orthonormal Polynomials of a Discrete Variable |
| title_full | On Fractional Orthonormal Polynomials of a Discrete Variable |
| title_fullStr | On Fractional Orthonormal Polynomials of a Discrete Variable |
| title_full_unstemmed | On Fractional Orthonormal Polynomials of a Discrete Variable |
| title_short | On Fractional Orthonormal Polynomials of a Discrete Variable |
| title_sort | on fractional orthonormal polynomials of a discrete variable |
| url | http://dx.doi.org/10.1155/2015/141325 |
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