Properties of Analytic Functions
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چکیده
In the last few sections, we completely described entire functions through the use of everywhere convergent power series. Our goal for the following sections is to instead consider functions which are analytic almost everywhere and see which results generalize. We shall see that we do get some generalizations (like representations of functions via convergent power series), but unlike the entire case, we need to impose domain restrictions on the corresponding power series.
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