Global Analysis in Linear Differential Equations is popular PDF and ePub book, written by M. Kohno in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Analysis in Linear Differential Equations can be Read Online from any device for your convenience.
Global Analysis in Linear Differential Equations Book PDF Summary
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.
Detail Book of Global Analysis in Linear Differential Equations PDF
- Author : M. Kohno
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401146050
- Genre : Mathematics
- Total Page : 539 pages
- Language : English
- PDF File Size : 18,9 Mb
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