Global Analysis in Linear Differential Equations: 471 - Rilegato

Kohno, Mitsuhiko

Rilegato

ISBN 10: 0792356055 ISBN 13: 9780792356059

Casa editrice: Kluwer Academic Pub, 1999

Riassunto

Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions, which have a variety of applications to mathematical science, physics and engineering. The cffcctivity of these functions is essentially due to their "behavior in the large" . For instance, the Airy function plays a basic role in the asymptotic analysis of many functions arising as solutions of differential equations in several problems of applied math­ ematics. In case of the employment of its behavior, one should always pay attention to the Stokes phenomenon. On the other hand, as is well-known, the Gauss hypergeometric function arises in all fields of mathematics, e.g., in number theory, in the theory of groups and in analysis itself. It is not too much to say that all power series are special or extended cases of the hypergeometric series. For the full use of its properties, one needs connection formulas or contiguous relations.

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Contenuti

Preface. 1. Preparations. 2. Gauss and Airy Equations. 3. Linear Differential Equations. 4. Reduction Problems. 5. Monodromy Groups for Hypergeometric Systems. 6. Connection Problem for Hypergeometric Systems. 7. Stokes Phenomenon. Bibliography. Index.

Product Description

Book by Kohno M

Dettagli dell?edizione

• Editore: Kluwer Academic Pub
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0792356055
• ISBN 13: 9780792356059
• Rilegatura: Copertina rigida
• Numero di pagine: 526
• Contatto del produttore: non disponibile