Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

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prodinger_representing_2017.pdf(141.24 KB)
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
Abstract
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Description
CITATION: Prodinger, H. 2017. Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Open Mathematics, 15(1):1156-1160, doi:10.1515/math-2017-0096.
The original publication is available at https://www.degruyter.com/view/j/math
Keywords
Chebyshev polynomials, Inversion formula, Explicit formula, Fibonacci numbers
Citation
Prodinger, H. 2017. Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Open Mathematics, 15(1):1156-1160, doi:10.1515/math-2017-0096
URI
http://hdl.handle.net/10019.1/105451
Collections
Research Articles (Mathematical Sciences)