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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 2, Pages 3–8 (Mi uzeru151)  
Mathematics

A transcendence result for the equation $D y = a Dx$

V. A. Aslanyan

Mathematical Institute, University of Oxford
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Abstract: An analogue of the Lindemann–Weierstrass theorem in differential setting for the differential equation $D y = a D x$ is proved, where $a$ is a non-constant parameter.
Keywords: abstract differential equation, Ax-Schanuel theorem, Lindemann–Weierstrass theorem.
Received: 07.03.2016
Accepted: 28.03.2016
Document Type: Article
MSC: Primary 12H05; Secondary 12H20
Language: English
Citation: V. A. Aslanyan, “A transcendence result for the equation $D y = a Dx$”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 2, 3–8
Citation in format AMSBIB
\Bibitem{Asl16}
\by V.~A.~Aslanyan
\paper A transcendence result for the equation $D y = a Dx$
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2016
\issue 2
\pages 3--8
\mathnet{http://mi.mathnet.ru/uzeru151}
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