Zhang, Jianyuan; Zhang, Yimin; Xiong, Shaowu Two sided power series and singular point of the \(K\)-analytic function. (Chinese. English summary) Zbl 1224.30003 J. Yunnan Nation. Univ., Nat. Sci. 18, No. 3, 198-201 (2009). 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) Keywords:\(K\)-analytic function; two-sided \(K\)-power series expansion; classification of isolated singular points PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Yunnan Nation. Univ., Nat. Sci. 18, No. 3, 198--201 (2009; Zbl 1224.30003)