The Hankel transform of causal distributions
In this note we evaluate the unidimensional distributional Hankel transform of \dfrac{x^{\alpha-1}_{+}}{\Gamma^{\alpha}},\dfrac{x^{\alpha-1}_{-}}{\Gamma^{\alpha}},dfrac{|x|^{\alpha-1}}{\Gamma^{\frac{\alpha}{2}}},dfrac{|x|^{\alpha-1}sgn(x)}{\Gamma^{\frac{\alpha +1}{2}}} and (x± i0)^{\alpha-1} and the...
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| Format: | Article |
| Language: | English |
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Universidad de Costa Rica
2012-03-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
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| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/144 |