On the Fresnel integrals and the convolution (Q1415118)
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scientific article; zbMATH DE number 2012565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Fresnel integrals and the convolution |
scientific article; zbMATH DE number 2012565 |
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On the Fresnel integrals and the convolution (English)
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3 December 2003
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Summary: The Fresnel cosine integral \(C(x)\), the Fresnel sine integral \(S(x)\), and the associated functions \(C_{+}(x)\), \(C_{-}(x)\), \(S_{+}(x)\), and \(S_{-}(x)\) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with \(x^{r}_{+}\) and \(x^r\) are evaluated.
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Fresnel cosine integral
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Fresnel sine integral
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