Integral transform approach to generalized Tricomi equations

In this article, we introduce the integral transform that can be used to obtain solutions of the generalized Tricomi equation via solutions of a simpler equation. We employed a particular version of this transform in [13,14,41-46] to investigate in a unified way several equations such as the linear and semilinear Tricomi equations, Gellerstedt equation, the wave equation in the Einstein-de Sitter spacetime, the wave and the Klein-Gordon equations in the de Sitter and anti-de Sitter spacetimes.