Displaying similar documents to “Conditions of analyticity for functions of one complex variable.”

Singular sets of separately analytic functions

Zbigniew Błocki (1992)

Annales Polonici Mathematici

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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.

Derivative and antiderivative operators and the size of complex domains

Luis Bernal-González (1994)

Annales Polonici Mathematici

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We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.