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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 179, Pages 88–93
DOI: https://doi.org/10.36535/0233-6723-2020-179-88-93 (Mi into632) 		 
Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points

E. Yu. Yudenkova

Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2020-179-88-93
Abstract: The paper is devoted to the proof of infinite linear independence at points that admit high-order approximations by algebraic numbers in non-Archimedean normalized fields.
Keywords: hypergeometric series, irrational parameter.
Document Type: Article
UDC: 511.36
MSC: 33C20
Language: Russian
Citation: E. Yu. Yudenkova, “Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 179, VINITI, Moscow, 2020, 88–93
Citation in format AMSBIB
\Bibitem{Yud20}
\by E.~Yu.~Yudenkova
\paper Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 179
\pages 88--93
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into632}
\crossref{https://doi.org/10.36535/0233-6723-2020-179-88-93}
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