ABSTRACT

This chapter provides some powerful results to give straightforward conditions for when these bounds are actually equalities. It aims to use some powerful results to give straightforward conditions for when these bounds are actually equalities. This process determines a set of critical points that are the analogues of the dominant singularities in univariate case. These points drive the dominant terms in the asymptotic expansions. The location of the boundary of convergence of a formal power series gives information about the growth of its coefficients. The process of determining which critical points contribute to the dominant asymptotics amounts to comparing the moduli of the components.