A novel extension of the Lagrange–Bürmann expansion formula

aking use of factorization and inverse of the Leibniz functional matrix in [Yang, Generalized Leibniz functional matrices and factorizations of some well-known matrices, Linear Algebra Appl. 430 (2009) 511–531], we establish a formal extension of the classical Lagrange–Bürmann expansion formula. In connection with this result, some new matrix inversions are also investigated.