Abstract
Let f(z) be an analytic function within the unit circle, having on the circumference C of this circle a finite number of singularities of logarithmic order, or of an order lower than that of a simple pole. Around the singular points on C we describe, in the interior of the circle of convergence, arcs of small circles of radii e,, and apply to these the process lim p -* 0. We are then led to the conclusion that the integration of the Cauchy integral
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