  By a generalized Delsarte polynomial we mean a Laurent polynomial whose
exponent vectors are linearly independent. We consider certain monomial
deformations of generalized Delsarte polynomials and study their associated
differential modules. We determine the solutions at the origin, which are all
classical ${}_kF_{k-1}$-hypergeometric functions with the variable raised to a
power. Using standard changes of variable, we also obtain the solutions at
infinity.
