On the sine integral and the convolution (Q1608185)
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scientific article; zbMATH DE number 1779121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sine integral and the convolution |
scientific article; zbMATH DE number 1779121 |
Statements
On the sine integral and the convolution (English)
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12 August 2002
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Here the sine integral \(Si(\lambda x)\), the cosine integral \(Ci (\lambda x)\) and their associated functions \(Si_+(\lambda x)\), \(Si_-(\lambda x)\), \(Ci_+(\lambda x)\), \(Ci_-(\lambda x)\) are defined as locally summable functions and on the real line. Some convolutions of these functions and \(\sin (\mu x)\), \(\sin_+ (\mu x)\) and \(\sin_- (\mu x)\) are also established.
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sine integral
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convolution
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cosine integral
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