<p>Working on a nuclear algebra of holomorphic functions on infinite dimensional, every white noise operator is known to admit an infinite series expansion in terms of integral kernel operators, this decomposition is known as the Fock expansion. Using this decomposition, we investigate the general expression for a particular solution of the quantum white noise Tricomi equation. Specifically, we demonstrate that the solution admits a unique series of integral kernel operators. Furthermore, we show that this solution satisfies an important inequality. Under certain additional conditions, this solution is contractive.</p>