A. I. Galochkin, “A lower bound for linear forms in values of certain hypergeometric functions”, Mat. Zametki, 8:1 (1970), 19–28; Math. Notes, 8:1 (1970), 478

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Matematicheskie Zametki, 1970, Volume 8, Issue 1, Pages 19–28 (Mi mzm9577)

This article is cited in 9 scientific papers (total in 9 papers)

A lower bound for linear forms in values of certain hypergeometric functions

A. I. Galochkin

M. V. Lomonosov Moscow State University

Full-text PDF (897 kB) Citations (9)

Abstract: Lower bounds are found for linear forms in values of certain hypergeometric functions and their derivatives, analogous to the bounds obtained by K. Mahler for the linear form of the numbers

1, e, e^{2}, \dots, e^{m}

$1, e, e^2,\dots,e^m$ .

Received: 19.11.1969

English version:
Mathematical Notes, 1970, Volume 8, Issue 1, Pages 478–484
DOI: https://doi.org/10.1007/BF01093438

Bibliographic databases:

Document Type: Article

UDC: 511

Language: Russian

Citation: A. I. Galochkin, “A lower bound for linear forms in values of certain hypergeometric functions”, Mat. Zametki, 8:1 (1970), 19–28; Math. Notes, 8:1 (1970), 478–484

Citation in format AMSBIB

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\by A.~I.~Galochkin

\paper A lower bound for linear forms in values of certain hypergeometric functions

\jour Mat. Zametki

\yr 1970

\vol 8

\issue 1

\pages 19--28

\mathnet{http://mi.mathnet.ru/mzm9577}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=268128}

\zmath{https://zbmath.org/?q=an:0219.10035}

\transl

\jour Math. Notes

\yr 1970

\vol 8

\issue 1

\pages 478--484

\crossref{https://doi.org/10.1007/BF01093438}

Linking options:

https://www.mathnet.ru/eng/mzm9577

https://www.mathnet.ru/eng/mzm/v8/i1/p19

This publication is cited in the following 9 articles:

P. L. Ivankov, “O znacheniyakh gipergeometricheskoi funktsii s parametrom iz algebraicheskogo polya chetvertoi stepeni”, Chebyshevskii sb., 23:3 (2022), 262–268
P. L. Ivankov, “O znacheniyakh gipergeometricheskikh funktsii”, Chebyshevskii sb., 21:2 (2020), 159–168
P. L. Ivankov, “O znacheniyakh gipergeometricheskoi funktsii s parametrom iz kvadratichnogo polya”, Chebyshevskii sb., 20:2 (2019), 178–185
P. L. Ivankov, “On Values Approximation of Some Special Type Hypergeometric Functions with Irrational Parameters”, Mat. mat. model., 2019, no. 3, 36
P. L. Ivankov, “O priblizhenii znachenii nekotorykh gipergeometricheskikh funktsii s irratsionalnymi parametrami”, Chebyshevskii sb., 17:1 (2016), 108–116
P. L. Ivankov, “O sovmestnykh priblizheniyakh”, Chebyshevskii sb., 16:3 (2015), 295–305
V. G. Chirskii, “On the arithmetic properties of generalized hypergeometric series with irrational parameters”, Izv. Math., 78:6 (2014), 1244–1260
P. L. Ivankov, “O lineinoi nezavisimosti znachenii nekotorykh funktsii”, Fundament. i prikl. matem., 1:1 (1995), 191–206
A. I. Galochkin, “On estimates, unimprovable with respect to height, of some linear forms”, Math. USSR-Sb., 52:2 (1985), 407–421

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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