On stability in the Cauchy and Morera theorems on holomorphic functions. (Q1432562)
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scientific article; zbMATH DE number 2074832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stability in the Cauchy and Morera theorems on holomorphic functions. |
scientific article; zbMATH DE number 2074832 |
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On stability in the Cauchy and Morera theorems on holomorphic functions. (English)
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15 June 2004
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This article is closely related to ealier results due to \textit{S. P. Ponomarev} [Acta Univ. Carolin. Math. Phys. 38, No. 2, 13--18 (1997)] he assumed that solutions of the Beltrami systems are pseudomonotone and preserve orientation. The present author shows that under mild asumptions those conditions can be dropped. He also provides explicit estimates of stability effects in Cauchy and Morera theorems about holomorphic functions. Proofs are not given.
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