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Matematicheskie Zametki, 2010, Volume 88, Issue 6, Pages 822–835
DOI: https://doi.org/10.4213/mzm8914 (Mi mzm8914) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Approximation of Values of the Gauss Hypergeometric Function by Rational Fractions

M. G. Bashmakova

Bryansk State Technical University
Full-text PDF (523 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm8914
Abstract: We consider a new approach to estimating the irrationality measure of numbers that are values of the Gauss hypergeometric function. Some of the previous results are improved, in particular, those concerning irrationalities of the form $\sqrt{k}\ln((\sqrt{k}+1)/(\sqrt{k}-1))$ with $k\in\mathbb N$.
Keywords: Gauss hypergeometric function, rational fraction, irrationality measure, Laplace method, Laurent series.
Received: 09.03.2010
Revised: 13.04.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 6, Pages 785–797
DOI: https://doi.org/10.1134/S0001434610110192
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: M. G. Bashmakova, “Approximation of Values of the Gauss Hypergeometric Function by Rational Fractions”, Mat. Zametki, 88:6 (2010), 822–835; Math. Notes, 88:6 (2010), 785–797
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:74
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