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Matematicheskie Zametki, 1971, Volume 10, Issue 2, Pages 229–238 (Mi mzm9707)  
A generalization of the Schwarzian derivative and its applications

B. E. Gopengauz

All-Union Correspondence Machine-Design Institute
Full-text PDF (832 kB)
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
English version:
Mathematical Notes, 1971, Volume 10, Issue 2, Pages 559–564
DOI: https://doi.org/10.1007/BF01822882
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Gop71}
\by B.~E.~Gopengauz
\paper A generalization of the Schwarzian derivative and its applications
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 2
\pages 229--238
\mathnet{http://mi.mathnet.ru/mzm9707}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=288266}
\zmath{https://zbmath.org/?q=an:0221.30019}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 2
\pages 559--564
\crossref{https://doi.org/10.1007/BF01822882}
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