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Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences - MaRDI portal

Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences (Q279692)

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scientific article; zbMATH DE number 6575110
Language Label Description Also known as
English
Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences
scientific article; zbMATH DE number 6575110

    Statements

    Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences (English)
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    29 April 2016
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    composition of distributions
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    Dirac delta function
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    pseudo-function
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    neutrix calculus
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    Hadamard finite part
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    regular sequence
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    delta sequence
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