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Matematicheskie Zametki, 2024, Volume 115, Issue 2, Pages 208–218
DOI: https://doi.org/10.4213/mzm14063 (Mi mzm14063) 		 
On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions

V. A. Gorelov

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.4213/mzm14063
Abstract: Indefinite integrals of products of generalized hypergeometric functions satisfying first-order differential equations are considered. Necessary and sufficient conditions for the algebraic independence of the set of these integrals and of their values at algebraic points are studied. All algebraic identities arising in this case are found in closed form.
Keywords: generalized hypergeometric function, algebraic independence, Siegel method, $E$-function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSWF-2023-0012
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FSWF-2023-0012).
Received: 04.06.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 2, Pages 173–181
DOI: https://doi.org/10.1134/S0001434624010164
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: 11J91
Language: Russian
Citation: V. A. Gorelov, “On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions”, Mat. Zametki, 115:2 (2024), 208–218; Math. Notes, 115:2 (2024), 173–181
Citation in format AMSBIB
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\pages 173--181
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