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Matematicheskie Zametki, 2005, Volume 78, Issue 3, Pages 331–348
DOI: https://doi.org/10.4213/mzm2591 (Mi mzm2591) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)
Full-text PDF (252 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm2591
Abstract: We prove a special case of Siegel's conjecture concerning the representability of $E$-functions in the form of polynomials in hypergeometric functions. We prove several assertions (formulated earlier by A. B. Shidlovskii) about the transcendence and linear independence of values of $E$-functions.
Received: 03.06.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 3, Pages 304–319
DOI: https://doi.org/10.1007/s11006-005-0130-z
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: V. A. Gorelov, “On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order”, Mat. Zametki, 78:3 (2005), 331–348; Math. Notes, 78:3 (2005), 304–319
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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