Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-09-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2017-0096 |
| _version_ | 1819114867722813440 |
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| author | Prodinger Helmut |
| author_facet | Prodinger Helmut |
| author_sort | Prodinger Helmut |
| collection | DOAJ |
| description | A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers. |
| first_indexed | 2024-12-22T04:52:07Z |
| format | Article |
| id | doaj.art-10e7e01dfb4942f8b8e8d3b142d44094 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-22T04:52:07Z |
| publishDate | 2017-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-10e7e01dfb4942f8b8e8d3b142d440942022-12-21T18:38:27ZengDe GruyterOpen Mathematics2391-54552017-09-011511156116010.1515/math-2017-0096math-2017-0096Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questionsProdinger Helmut0Department of Mathematical Sciences, Mathematics Division, Stellenbosch University, Private Bag X1, 7602, Matieland, South AfricaA recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.https://doi.org/10.1515/math-2017-0096chebyshev polynomialsinversion formulaexplicit formulascaled fibonacci numbers11b39 |
| spellingShingle | Prodinger Helmut Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions Open Mathematics chebyshev polynomials inversion formula explicit formula scaled fibonacci numbers 11b39 |
| title | Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions |
| title_full | Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions |
| title_fullStr | Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions |
| title_full_unstemmed | Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions |
| title_short | Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions |
| title_sort | representing derivatives of chebyshev polynomials by chebyshev polynomials and related questions |
| topic | chebyshev polynomials inversion formula explicit formula scaled fibonacci numbers 11b39 |
| url | https://doi.org/10.1515/math-2017-0096 |
| work_keys_str_mv | AT prodingerhelmut representingderivativesofchebyshevpolynomialsbychebyshevpolynomialsandrelatedquestions |