A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function (Q1101180)
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scientific article; zbMATH DE number 4046944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function |
scientific article; zbMATH DE number 4046944 |
Statements
A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function (English)
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1988
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Let u(x) and \(u^{(q)}(x)\) have Chebyshev expansion coefficients \(a_ n\) and \(a_ n^{(q)}\) respectively over the [0,1]. Closed expressions for the coefficients in the expansion of \(a_ n^{(q)}\) as an infinite series in \(a_ j\) are obtained.
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general order derivative
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infinitely differentiable function
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spectral Galerkin methods
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Chebyshev polynomials
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Chebyshev expansion coefficients
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Closed expressions
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