The report presents a comprehensive survey of the leading papers written in French, German, and Russian on the formulation, construction, analysis of wave pattern, and evaluation of wave amplitude of the Greens function for a pulsating three-dimensional source which is translating in a straight line below the free surface of an infinite fluid. This important Greens function is of fundamental importance in analyses of ship motions and contains as two special limiting cases the widely used functions for zero frequency Kelvin wake case and zero speed ring wave case. For each topic, the report describes in detail the major approaches used in these papers. The survey covers the period from the late 1940s to the early 1980s. Keywords Oscillating and translating source Free surface Far field.