By 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 $Phi_1 $, $Phi_2 $, $Phi_3 $, $Psi_1 $, $Psi_2 $, $Xi_
1 $ and $Xi_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 Humberts functions are found.
