  We prove a formula for the Taylor series coefficients of a zero of the sum of
a complex-exponent polynomial and a base function which is a general
holomorphic function with a simple zero. Such a Taylor series is more general
than a Puiseux series. We prove an integrality result about these coefficients
which implies and generalizes the integrality result of Sturmfels ("Solving
algebraic equations in terms of $\mathcal{A}$-hypergeometric series". Discrete
Math. 210 (2000) pp. 171-181). We also prove a transformation rule for a
special case of these Taylor series.
