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We describe some properties of the Bers quasiform on a compact Riemannsurface in the Schottky sewing scheme. Our main results are: (i) the expansionof meromorphic differential forms in terms of holomorphic forms and derivativesof the Bers quasiform, (ii) power series expansions in the Schottky sewingparameters of the Bers quasiform and holomorphic forms, (iii) a noveldifferential operator which acts on meromorphic forms in several variableswhich we apply in deriving differential equations for classical objects such asthe bidifferential of the second kind, the projective connection, holomorphic1-forms and the prime form.

Some Properties and Applications of Bers Quasiforms on Riemann Surfaces