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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 658–672
DOI: https://doi.org/10.4213/mzm10724 (Mi mzm10724) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Algebraic Properties of Solutions of Inhomogeneous Hypergeometric Equations

V. A. Gorelov

National Research University "Moscow Power Engineering Institute"
Full-text PDF (538 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm10724
Abstract: Generalized hypergeometric differential equations of arbitrary order are considered. Necessary and sufficient conditions for the algebraic independence of solutions of collections of such equations, as well as of their values at algebraic points, are obtained.
Keywords: hypergeometric differential equation, algebraic independence of solutions, algebraic point, Galois group.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2081.2014.1
1.756.2014/K
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 1.756.2014/K) and supported in part by the Grant Council of the President of the Russian Federation (grant no. NSh-2081.2014.1).
Received: 16.04.2015
Revised: 14.10.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 663–675
DOI: https://doi.org/10.1134/S0001434616050059
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. A. Gorelov, “On the Algebraic Properties of Solutions of Inhomogeneous Hypergeometric Equations”, Mat. Zametki, 99:5 (2016), 658–672; Math. Notes, 99:5 (2016), 663–675
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
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