When a terahertz laser generator irradiates a person, its skin gives a thermal and thermoelastic response. Solving the partial differential equations of heat conduction propagation in cylindrical coordinates and the dynamical equations of thermoelasticity with the help of special mathematical functions and laplace transformation, I obtained two different functions in dependence of one spatial coordinate and time. These two functions can be used to perform an analysis of the skin's response, and thus will help to differentiate between unhealthy skin tissue and healthy one.