The coefficients of the Laurent series expansions of real analytic functions (Q1313215)

Let \(f\) be a real analytic function of a real variable such that 0 is an isolated (possibly essential) singularity of \(f\). In the paper under review, the authors use a conformal mapping to derive a formula which determines the Laurent coefficients of \(f\) soleley in terms of the values of \(f\) and the derivatives of \(f\) at a real point of analyticity of \(f\). In addition, they also determine the coefficients of the Laurent expansion of \(f\) around 0, where now 0 is a singularity of \(f\) which is not necessarily isolated.