Hypergeometric Functions, My Love: Modular Interpretations of Configuration Spaces
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Bibliographic Details
Main Author: Yoshida, Masaaki (Author)
Format: Electronic eBook
Language:English
Published: Wiesbaden Vieweg+Teubner Verlag 1997
Series:Aspects of Mathematics 32
Subjects:
Online Access:Volltext
Item 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
Physical Description:1 Online-Ressource (XVI, 292 p)
ISBN:9783322901668
9783322901682
ISSN:0179-2156
DOI:10.1007/978-3-322-90166-8

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