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Let y=P2(f) be Bergman's operator of the second kind, f(q) is analytic at^=0. In a previous paper  a theorem was obtained on the singularities of ip when y» was generated by a f(q) whose only singular points were poles. In this note we obtain a theorem on the singularities of rp when y> is generated by a f(q) whose singular points can be of more varied types.doi:10.1090/s0002-9939-1974-0336033-8 fatcat:6ouew6wci5da5fb5y3twndbfyi