On the commutative neutrix product of \(x_+^{r-1/2}\) and \(x_+^{-r-1/2}\) (Q1286534)
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scientific article; zbMATH DE number 1283806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the commutative neutrix product of \(x_+^{r-1/2}\) and \(x_+^{-r-1/2}\) |
scientific article; zbMATH DE number 1283806 |
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On the commutative neutrix product of \(x_+^{r-1/2}\) and \(x_+^{-r-1/2}\) (English)
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9 February 2000
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The main result of this paper states that the neutrix product \(x^{-r}\square x^{-s}\) exists and that \(x^{-r}\square x^{-s}= x^{-r-s}\), \(r,s= 1,2,\dots\)\ . As a consequence one obtains the following formula \[ (x+ i0)^{-r}\square (x+ i0)^{-s}= (x+ i0)^{-r-s},\quad r,s= 1,2,\dots\;. \]
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distributions
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Dirac delta-function
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neutrix product
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