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

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver
 
Creator Volkmer, H.
 
Description 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).
 
Date 2019-02-15T18:54:54Z
2019-02-15T18:54:54Z
2016
 
Type Article
 
Identifier The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33B20; 33C15; 41A60
DOI:10.3842/SIGMA.2016.046
http://dspace.nbuv.gov.ua/handle/123456789/147735
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України