Projective point scales and summation formula for Chebyshev polynomials (Q1303592)
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scientific article; zbMATH DE number 1337924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective point scales and summation formula for Chebyshev polynomials |
scientific article; zbMATH DE number 1337924 |
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Projective point scales and summation formula for Chebyshev polynomials (English)
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10 April 2000
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The paper presents new summation formulas for Chebyshev polynomials. The proof is based on relations of the corresponding coefficients with projective point scales. The results can be used to derive summation formulas for hyperbolic functions of the form \[ \sum^{+\infty}_{k= 0} {1\over\cosh(kt)} {1\over\cosh((k+ 1)t)}= {1\over \sinh(t)},\quad t>0. \]
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Chebyshev polynomials
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projective point scales
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hyperbolic functions
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0.8516562
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0.8486675
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0.8387968
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0.8387966
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0.8371898
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