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Numerically satisfactory solutions of Kummer recurrence relations

✍ Scribed by Javier Segura; Nico M. Temme


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
177 KB
Volume
111
Category
Article
ISSN
0029-599X

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Computational properties of three-term r
✍ Alfredo DeaΓ±o; Javier Segura; Nico M. Temme πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 519 KB

Several three-term recurrence relations for confluent hypergeometric functions are analyzed from a numerical point of view. Minimal and dominant solutions for complex values of the variable z are given, derived from asymptotic estimates of the Whittaker functions with large parameters. The Laguerre