Continued fractions : convergence theory

Continued Fractions consists of two volumes Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic...

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Autori principali: Lorentzen, Lisa, 1943-, Waadeland, Haakon, 1927- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Paris : Atlantis Press 2008.
Cham : Springer Nature
Serie:Atlantis Studies in Mathematics for Engineering and Science 1
Accesso online:Accès sur la plateforme de l'éditeur
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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100 1 |a Lorentzen, Lisa,  |d 1943- 
245 1 0 |a Continued fractions :  |b convergence theory   |c by Lisa Lorentzen, Haakon Waadeland. 
260 |a Paris :  |b Atlantis Press. 
260 |a Cham :  |b Springer Nature,  |c 2008. 
490 0 |a Atlantis Studies in Mathematics for Engineering and Science  |v 1  |x 2467-9631 
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500 |a Archives Springer e-books (Licence nationale) 
505 0 |a Introductory examples -- Basics -- Convergence criteria -- Periodic and limit periodic continued fractions -- Numerical computation of continued fractions. 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Continued Fractions consists of two volumes Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given. This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient 
700 1 |a Waadeland, Haakon,  |d 1927-  |4 aut 
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