Lommel's Integrals

Author

Eric W. Weisstein
January 28, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/LommelsIntegrals.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/LommelsIntegrals.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Integrals

FullSimplify[((α^2)-(β^2))Integrate[x BesselJ[n,α x]BesselJ[n,β x],x]]//TraditionalForm

Integrate[x BesselJ[n,α x]^2,x]//TraditionalForm