What is this jet seen in the Falcon Crest TV series?
I believe that it is an Israeli Aircraft Industries Westwind. This is based on the mid-set wing and the 5 windows on each side.

Image source: https://upload.wikimedia.org/wikipedia/commons/thumb/f/ff/IAI_Westwind_%282323424886%29.jpg/300px-IAI_Westwind_%282323424886%29.jpg