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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 046, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.046 (Mi sigma1128) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Asymptotic Expansion of Kummer Functions for Large Values of the $a$-Parameter, and Remarks on a Paper by Olver

Hans Volkmer

Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI, 53201, USA
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DOI: https://doi.org/10.3842/SIGMA.2016.046
Abstract: It is shown that a known asymptotic expansion of the Kummer function $U(a,b,z)$ as $a$ tends to infinity is valid for $z$ on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general setting considered by Olver (1956).
Keywords: Kummer functions; asymptotic expansions.
Received: January 10, 2016; in final form May 1, 2016; Published online May 6, 2016
Bibliographic databases:
Document Type: Article
MSC: 33B20; 33C15; 41A60
Language: English
Citation: Hans Volkmer, “The Asymptotic Expansion of Kummer Functions for Large Values of the $a$-Parameter, and Remarks on a Paper by Olver”, SIGMA, 12 (2016), 046, 22 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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