Representations of Meromorphic Functions in Terms of Laurent Expansions and Partial Boundary Values

For any analytic function f on a Riemann surface S with an isolated singularity, we give a "good" formula representing f on a large domain containing any given point on which f is regular in terms of the coefficients of Laurent's expansion around any fixed isolated singular point using a conformal mapping of a doubly-connected domain. Representations of meromorphic functions in terms of partial boundary values will also be referred, clearly.