A. B. Shidlovskii, “Transcendentality and algebraic independence of the values of certain functions”, Tr. Mosk. Mat. Obs., 8, GIFML, Moscow, 1959, 283

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Trudy Moskovskogo Matematicheskogo Obshchestva, 1959, Volume 8, Pages 283–320 (Mi mmo90)

This article is cited in 14 scientific papers (total in 15 papers)

Transcendentality and algebraic independence of the values of certain functions

A. B. Shidlovskii

Full-text PDF (5608 kB) Citations (15)

Received: 18.02.1958

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. B. Shidlovskii, “Transcendentality and algebraic independence of the values of certain functions”, Tr. Mosk. Mat. Obs., 8, GIFML, Moscow, 1959, 283–320

Citation in format AMSBIB

\Bibitem{Shi59}

\by A.~B.~Shidlovskii

\paper Transcendentality and algebraic independence of the values of certain functions

\serial Tr. Mosk. Mat. Obs.

\yr 1959

\vol 8

\pages 283--320

\publ GIFML

\publaddr Moscow

\mathnet{http://mi.mathnet.ru/mmo90}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=107632}

\zmath{https://zbmath.org/?q=an:0090.26203}

Linking options:

https://www.mathnet.ru/eng/mmo90

https://www.mathnet.ru/eng/mmo/v8/p283

Erratum

Correction to the article “Transcendentality and algebraic independence of the values of certain functions” (Trudy Mosk. Matem. Ob-va 8(1959))
A. B. Shidlovskii
Tr. Mosk. Mat. Obs., 1961, 10, 438

This publication is cited in the following 15 articles:

V. A. Gorelov, “Ob algebraicheskikh svoistvakh funktsii, svyazannykh s gipergeometricheskimi”, Matem. zametki, 117:3 (2025), 365–374
V. A. Gorelov, “On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions”, Math. Notes, 115:2 (2024), 173–181
P. L. Ivankov, “O lineinykh priblizhayuschikh formakh”, Chebyshevskii sb., 21:1 (2020), 200–212
V. A. Kulagin, “Algebraic independence of values of a certain class of hypergeometric functions”, Math. Notes, 59:3 (1996), 283–292
V. A. Kulagin, “On the algebraic independence of the values of some subclasses of hypergeometric $E$-functions”, Russian Math. Surveys, 46:5 (1991), 189–190
V. Kh. Salikhov, “A criterion for the algebraic independence of values of a class of hypergeometric $E$-functions”, Math. USSR-Sb., 69:1 (1991), 203–226
V. A. Kulagin, “On the algebraic independence of values of certain subclasses of $E$-functions”, Russian Math. Surveys, 42:2 (1987), 285–286
V. Kh. Salikhov, “Linear irreducibility of differential equations and algebraic independence of the values of hypergeometric $E$-functions”, Russian Math. Surveys, 41:3 (1986), 231–232
V. Kh. Salikhov, “On the algebraic irreducibility of the set of linear differential equations”, Math. USSR-Izv., 26:1 (1986), 185–200
V. Kh. Salikhov, “On differential irreducibility of a class of differential equations”, Math. USSR-Izv., 16:1 (1981), 165–189
V. Ya. Kozlov, K. K. Mardzhanishvili, “Andrei Borisovich Shidlovskii (on his sixtieth birthday)”, Russian Math. Surveys, 31:3 (1976), 199–206
Yu. V. Nesterenko, “On the algebraic dependence of the components of solutions of a system of linear differential equations”, Math. USSR-Izv., 8:3 (1974), 501–518
V. A. Oleinikov, “On the transcendence and algebraic independence of the values of certain entire functions”, Math. USSR-Izv., 2:1 (1968), 61–87
V. G. Sprindzhuk, “The irrationality of the values of certain transcendental functions”, Math. USSR-Izv., 2:1 (1968), 89–104
N. I. Fel'dman, A. B. Shidlovskii, “The development and present state of the theory of transcendental numbers”, Russian Math. Surveys, 22:3 (1967), 1–79

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

Trudy Moskovskogo Matematicheskogo Obshchestva

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