http://rockpile.phys.virginia.edu/mod04/mod34.pdf "Now let's see what this does to the frequency of the light. We know that even without special relativity, observers moving at different velocities measure different frequencies. (This is the reason the pitch of an ambulance changes as it passes you it doesn't change if you're on the ambulance). This is called the Doppler shift, and for small relative velocity v it is easy to show that the frequency shifts from f to f(1+v/c) (it goes up heading toward you, down away from you). There are relativistic corrections, but these are negligible here."
So we have:
f' = f(1+v/c) = (c+v)/L = c'/L
where f' is the frequency measured by an observer moving with speed v towards the light source, f=c/L is the frequency measured by an observer at rest relative to the source, L is the wavelength, and c'=c+v is the speed of the light waves relative to the moving observer.
The above relations are so obviously correct and so fatal for special relativity that clever Einsteinians practice absolute crimestop in this case:
http://ebooks.adelaide.edu.au/o/orwell/george/o79n/chapter2.9.html Crimestop means the faculty of stopping short, as though by instinct, at the threshold of any dangerous thought. It includes the power of not grasping analogies, of failing to perceive logical errors, of misunderstanding the simplest arguments if they are inimical to Ingsoc, and of being bored or repelled by any train of thought which is capable of leading in a heretical direction. Crimestop, in short, means protective stupidity."