From Gauss to Painleve: A Modern Theory of Special Functions Katsunori Iwasaki

ISBN: 9783322901651

Published: June 12th 2012

Paperback

347 pages


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From Gauss to Painleve: A Modern Theory of Special Functions  by  Katsunori Iwasaki

From Gauss to Painleve: A Modern Theory of Special Functions by Katsunori Iwasaki
June 12th 2012 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 347 pages | ISBN: 9783322901651 | 7.47 Mb

This book gives an introduction to the modern theory of special functions. It focuses on the nonlinear Painleve differential equation and its solutions, the so-called Painleve functions. It contains modern treatments of the Gauss hypergeometricMoreThis book gives an introduction to the modern theory of special functions. It focuses on the nonlinear Painleve differential equation and its solutions, the so-called Painleve functions. It contains modern treatments of the Gauss hypergeometric differential equation, monodromy of second order Fuchsian equations and nonlinear differential equations near singular points.The book starts from an elementary level requiring only basic notions of differential equations, function theory and group theory.

Graduate students should be able to work with the text.The authors do an excellent job of presenting both the historical and mathematical details of the subject in a form accessible to any mathematician or physicist. (MPR in The American Mathematical Monthly Marz 1992.



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