Weins Displacement Law: Calculating Max Wavelength & Frequency

[pseudo]

in weins displacement law how can we calculate the maximum wavelength & the maximum frequency? is that equation applicable for all kinds of black body radiations even the hawking radiation ?

 

[Kurdt]

Wavelength and frequency are linked via $c=f\lambda$. As far as I know it should be applicable to Hawking radiation as well.