On the zeros of certain linear combinations of Chebyshev polynomials (Q1917927)
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scientific article; zbMATH DE number 903560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the zeros of certain linear combinations of Chebyshev polynomials |
scientific article; zbMATH DE number 903560 |
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On the zeros of certain linear combinations of Chebyshev polynomials (English)
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7 April 1997
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The author derives a mathematical model of a system of masses connected with springs in form of a system of linear differential equations of second order. It is solved by means of the Laplace transform. The eigenfrequencies can be written in terms of the zeros of certain linear combinations of Chebyshev polynomials. The number of these zeros is investigated. Under additional restrictions of the parameters it can be proved that all zeros are located in the interval \((-1,1)\).
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Laplace transform
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zeros
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Chebyshev polynomials
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