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Two sided power series and singular point of the \(K\)-analytic function. (Chinese. English summary) Zbl 1224.30003

Summary: This paper defines \(K\)-power series, gives the expansion of \(K\)-analytic functions in the two-sided \(K\)-power series in an elliptic ring, and applies it to the study of isolated singular point and its nature of \(K\)-analytic function. The conclusion is the continuation and application of the corresponding results about analytic functions and conjugate analytic functions.

MSC:

30B10 Power series (including lacunary series) in one complex variable
30G30 Other generalizations of analytic functions (including abstract-valued functions)
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