Hi - I did that a long time ago and I forget what the capacitance worked out to be (not much, I think I guessed the glass was 1/8 inch..) But it was a random wire antenna driving a shortwave RX and it worked adequately without further "maths"... I guess you could also use it for transmitting where that series C should be taken into account as part of the complex system Z. Mr Smith enters the chat....
I think I remember that there were some older cell phone antennas for window mounting that used the same idea to couple the signal thru the rear window glass... cool but not rocket science... Improvise, Adapt, Overcome...
Tim
N6CC