Formula:643

Digital Library of Mathematical Functions ID 1.17.E14

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Diracdelta@{x-a}=\frac{2xa}{\pi}\int_{0}^{\infty}t^{2}\sphBesselJ{\ell}@{xt}\sphBesselJ{\ell}@{at}\diff{t},}

Constraint(s)

${\displaystyle{\displaystyle a>0}}$

Symbols List

• ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$: spherical Bessel function of the first kind
 

Resources that cite this formula

No records found.