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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 506, Pages 95–107
DOI: https://doi.org/10.31857/S2686954322050071 (Mi danma305) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters

V. G. Chirskii

Lomonosov Moscow State University
Citations (2)
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DOI: https://doi.org/10.31857/S2686954322050071
Abstract: Theorems on the infinite linear independence of the values of generalized hypergeometric series $\sum_{n=0}^\infty(a_1)_n\cdots(a_{m-1})_nz^n$ with parameters including transcendental polyadic Liouville numbers are proved.
Keywords: infinite linear independence, polyadic Liouville numbers, Hermite–Padé approximations.
Presented: A. L. Semenov
Received: 10.07.2022
Revised: 18.08.2022
Accepted: 20.08.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 2, Pages 386–397
DOI: https://doi.org/10.1134/S106456242205009X
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. G. Chirskii, “Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 95–107; Dokl. Math., 106:2 (2022), 386–397
Citation in format AMSBIB
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\paper Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 506
\pages 95--107
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\crossref{https://doi.org/10.31857/S2686954322050071}
\elib{https://elibrary.ru/item.asp?id=49787609}
\transl
\jour Dokl. Math.
\yr 2022
\vol 106
\issue 2
\pages 386--397
\crossref{https://doi.org/10.1134/S106456242205009X}
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