On a function which is self-reciprocal in the Hankel transform. (Q2607901)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On a function which is self-reciprocal in the Hankel transform. |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a function which is self-reciprocal in the Hankel transform. |
scientific article |
Statements
On a function which is self-reciprocal in the Hankel transform. (English)
0 references
1936
0 references
Die Funktion \[ \varphi(x)=x^{\frac12+\mu}(x^2+a^2)^{\frac{-\mu-1}4} K_{\frac12(\mu+1)}\left(a\sqrt{x^2+a^2}\right) \] ist selbstreziprok bezüglich der \textit{Hankel}-Transformation, d.~h. \[ \varphi(x)=\int\limits_0^\infty(xt)^{\frac12}J_\mu(xt)\varphi(t)\,dt. \]
0 references
