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A generalization of the Schwarzian derivative and its applications
B. E. Gopengauz All-Union Correspondence Machine-Design Institute
Abstract:
A generalization of the Schwarzian derivative is proposed; this generalization is used to investigate functions having divided differences which are nonzero in a given region. A relation is established between this class of functions and linear homogeneous differential equations.
Received: 05.06.1970
Citation:
B. E. Gopengauz, “A generalization of the Schwarzian derivative and its applications”, Mat. Zametki, 10:2 (1971), 229–238; Math. Notes, 10:2 (1971), 559–564
Linking options:
https://www.mathnet.ru/eng/mzm9707 https://www.mathnet.ru/eng/mzm/v10/i2/p229
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Statistics & downloads: |
Abstract page: | 127 | Full-text PDF : | 93 | First page: | 1 |
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