Limits of Chebyshev polynomials when the argument is a ratio of cosines (Q762392)
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scientific article; zbMATH DE number 3888288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limits of Chebyshev polynomials when the argument is a ratio of cosines |
scientific article; zbMATH DE number 3888288 |
Statements
Limits of Chebyshev polynomials when the argument is a ratio of cosines (English)
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1984
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Two new limits involving Chebyshev polynomials of the first and second kinds are given. These limits are useful in certain engineering applications. The proofs are based on the Mehler-Heine theorem for Jacobi polynomials.
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extremal properties
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Chebyshev polynomials
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Mehler-Heine theorem
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Jacobi polynomials
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0.87757945
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0.8710471
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0.85861737
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0.8521141
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0.8511153
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0.85064435
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