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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 101, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.101 (Mi sigma1183) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Uniform Asymptotic Expansion for the Incomplete Beta Function

Gergő Nemes, Adri B. Olde Daalhuis

Maxwell Institute and School of Mathematics, The University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK
Full-text PDF (259 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2016.101
Abstract: In [Temme N.M., Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996, Section 11.3.3.1] a uniform asymptotic expansion for the incomplete beta function was derived. It was not obvious from those results that the expansion is actually an asymptotic expansion. We derive a remainder estimate that clearly shows that the result indeed has an asymptotic property, and we also give a recurrence relation for the coefficients.
Keywords: incomplete beta function; uniform asymptotic expansion.
Funding agency Grant number
National Institute of Standards and Technology GRANT11863412/70NANB15H221
This research was supported by a research grant (GRANT11863412/70NANB15H221) from the National Institute of Standards and Technology.
Received: September 12, 2016; in final form October 21, 2016; Published online October 25, 2016
Bibliographic databases:
Document Type: Article
MSC: 41A60; 33B20
Language: English
Citation: Gergő Nemes, Adri B. Olde Daalhuis, “Uniform Asymptotic Expansion for the Incomplete Beta Function”, SIGMA, 12 (2016), 101, 5 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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