SOME REMARKS ON HOLOMORPHIC FUNCTIONS AND TAYLOR SERIES IN Cn |
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Authors: | Yu Jiarong |
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Affiliation: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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Abstract: | Some previous results on convergence of Taylor series in Cn [3] are improved by indicating outside the domain of convergence the points where the series diverges and simplifying some proofs. These results contain the Cauchy-Hadamard theorem in C. Some Cauchy integral formulas of a holomorphic function on a closed ball in Cn are constructed and the Taylor series expansion is deduced. |
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Keywords: | Polar coordinates Taylor series holomorphic functions |
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