Calculation of Temperature under Heating by an Immobile Laser Beam

We present a concept of solving the problem of heating a semibounded space by an immobile source with Gaussian power distribution via the hypergeometrical function of two variables. The kinetics of thermal saturation is analyzed under heating by an immobile Gaussian heat source. Under the assumption of a three-dimensional heat flow, the formula for temperature of any point of a surface is obtained under heat treatment by a mobile Gaussian source.