Hypergeometric Functions, My Love

Hypergeometric Functions, My Love
Author: Masaaki Yoshida
Publisher: Springer Science & Business Media
Total Pages: 301
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 3322901661

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The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables. This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected. It leads the reader to a fascinating 4-dimensional world. The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.


Hypergeometric Functions, My Love
Language: en
Pages: 301
Authors: Masaaki Yoshida
Categories: Technology & Engineering
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions a
Basic Hypergeometric Series
Language: en
Pages: 456
Authors: George Gasper
Categories: Mathematics
Type: BOOK - Published: 2011-02-25 - Publisher:

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Significant revision of classic reference in special functions.
Theory of Hypergeometric Functions
Language: en
Pages: 327
Authors: Kazuhiko Aomoto
Categories: Mathematics
Type: BOOK - Published: 2011-05-21 - Publisher: Springer Science & Business Media

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This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which
Hypergeometric Functions Over Finite Fields
Language: en
Pages: 138
Authors: Jenny Fuselier
Categories: Mathematics
Type: BOOK - Published: 2022-11-10 - Publisher: American Mathematical Society

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View the abstract.
Arithmetic and Geometry Around Hypergeometric Functions
Language: en
Pages: 441
Authors: Rolf-Peter Holzapfel
Categories: Mathematics
Type: BOOK - Published: 2007-06-28 - Publisher: Springer Science & Business Media

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This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functio