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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 258–262
DOI: https://doi.org/10.33048/semi.2019.16.017 (Mi semr1058) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On algebraic identities between solution matrices of Bessel's and Kummer's equations

V. A. Gorelov

National Research University "Moscow Power Engineering Institute", 14, Krasnokazarmennaya str., Moscow, 111250, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.017
Abstract: Examples of algebraic identities between solution matrices of Bessel's and Kummer's equations and their generalizations are found. Errors in some theorems of F. Beukers and other authors are corrected.
Keywords: hypergeometric functions, Siegel's method, algebraic independence.
Received February 18, 2018, published February 26, 2019
Bibliographic databases:
Document Type: Article
UDC: 511.4
MSC: 33C20, 11J91
Language: Russian
Citation: V. A. Gorelov, “On algebraic identities between solution matrices of Bessel's and Kummer's equations”, Sib. Èlektron. Mat. Izv., 16 (2019), 258–262
Citation in format AMSBIB
\Bibitem{Gor19}
\by V.~A.~Gorelov
\paper On algebraic identities between solution matrices of Bessel's and Kummer's equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 258--262
\mathnet{http://mi.mathnet.ru/semr1058}
\crossref{https://doi.org/10.33048/semi.2019.16.017}
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