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Complex spirals and pseudo-Chebyshev polynomials of fractional degree - MaRDI portal

Complex spirals and pseudo-Chebyshev polynomials of fractional degree (Q2337847)

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Complex spirals and pseudo-Chebyshev polynomials of fractional degree
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    Complex spirals and pseudo-Chebyshev polynomials of fractional degree (English)
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    20 November 2019
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    Summary: The complex Bernoulli spiral is connected to Grandi curves and Chebyshev polynomials. In this framework, pseudo-Chebyshev polynomials are introduced, and some of their properties are borrowed to form classical trigonometric identities; in particular, a set of orthogonal pseudo-Chebyshev polynomials of half-integer degree is derived.
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    Bernoulli spiral
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    Grandi curves
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    Chebyshev polynomials
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    pseudo-Chebyshev polynomials
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    orthogonality property
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