2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172076By making use of some techniques based upon certain inverse new pairs of symbolic operators, the author investigate several decomposition formulas associated with Humbert hypergeometric functions $Φ_1 $, $Φ_2 $, $Φ_3 $, $Ψ_1 $, $Ψ_2 $, $Ξ_1 $ and $Ξ_2 $. These operational representations are constructed and applied in order to derive the corresponding decomposition formulas. With the help of these inverse pairs of symbolic operators, a total 34 decomposition formulas are found. Euler type integrals, which are connected with Humbert's functions are found.11Mathematical PhysicsSpectral Theory33C15text