A generalized theorem of mean values of an analytic function and an algorism of the determination of mean values
We prove the mean-value theorem for functions analytic in starlike domains, propose an algorithm for finding the function of mean values, and study its analytic continuation. We present a differential equation for the function of mean values and the interpretation of the Lagrange formula for analyti...
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1734 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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