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Hypergeometric Functions, My Love - a book by Yoshida, Masaaki

Hypergeometric Functions, My Love

Modular Interpretations of Configuration Spaces

Hypergeometric Functions, My Love( )
Author: Yoshida, Masaaki
Series title:Aspects of Mathematics Ser.
ISBN:978-3-322-90168-2
Publication Date:Oct 2013
Publisher:Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH
Book Format:Paperback
List Price:USD $99.00
Book Description:

There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l - x )u" + {{c - (a + b + l)x }}u' - abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multi-valued map D}}, its monodromy group is f(2) = {{g E SL(2, Z) 1 g == 12 mod 2}}, the map

Book Details
Pages:292
Detailed Subjects: Mathematics / General
Mathematics / Mathematical Analysis
Physical Dimensions (W X L X H):6.942 x 9.906 Inches
Book Weight:1.311 Pounds

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