Theory of Hypergeometric Functions (Record no. 108809)
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000 -LEADER | |
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fixed length control field | 02578nam a22004695i 4500 |
001 - CONTROL NUMBER | |
control field | 978-4-431-53938-4 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083820.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 110521s2011 ja | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9784431539384 |
-- | 978-4-431-53938-4 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-4-431-53938-4 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA440-699 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBM |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT012000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Aomoto, Kazuhiko. |
Relator term | author. |
245 10 - TITLE STATEMENT | |
Title | Theory of Hypergeometric Functions |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Kazuhiko Aomoto, Michitake Kita. |
264 #1 - | |
-- | Tokyo : |
-- | Springer Japan : |
-- | Imprint: Springer, |
-- | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVI, 320 p. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Springer Monographs in Mathematics, |
International Standard Serial Number | 1439-7382 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1 Introduction: the Euler-Gauss Hypergeometric Function -- 2 Representation of Complex Integrals and Twisted de Rham Cohomologies -- 3 Hypergeometric functions over Grassmannians -- 4 Holonomic Difference Equations and Asymptotic Expansion References Index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Functional analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Geometry. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Geometry. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Functional Analysis. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Kita, Michitake. |
Relator term | author. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9784431539124 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Springer Monographs in Mathematics, |
-- | 1439-7382 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-4-431-53938-4 |
912 ## - | |
-- | ZDB-2-SMA |
No items available.