Coverart for item
The Resource Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita ; with an appendix by Toshitake Kohno

Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita ; with an appendix by Toshitake Kohno

Label
Theory of hypergeometric functions
Title
Theory of hypergeometric functions
Statement of responsibility
Kazuhiko Aomoto, Michitake Kita ; with an appendix by Toshitake Kohno
Creator
Contributor
Subject
Language
  • eng
  • jpn
  • eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Aomoto, Kazuhiko
Dewey number
515/.55
Index
index present
Language note
English
LC call number
QA353.H9
LC item number
A56 2011
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
-1995
http://library.link/vocab/relatedWorkOrContributorName
Kita, Michitake
Series statement
Springer monographs in mathematics
http://library.link/vocab/subjectName
  • Hypergeometric functions
  • Hypergeometric functions
Label
Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita ; with an appendix by Toshitake Kohno
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
733543403
Dimensions
unknown
Extent
1 online resource (xvi, 317 pages).
Form of item
online
Isbn
9784431539384
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-4-431-53938-4
http://library.link/vocab/ext/overdrive/overdriveId
978-4-431-53912-4
Specific material designation
remote
System control number
(OCoLC)733543403
Label
Theory of hypergeometric functions, Kazuhiko Aomoto, Michitake Kita ; with an appendix by Toshitake Kohno
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
733543403
Dimensions
unknown
Extent
1 online resource (xvi, 317 pages).
Form of item
online
Isbn
9784431539384
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-4-431-53938-4
http://library.link/vocab/ext/overdrive/overdriveId
978-4-431-53912-4
Specific material designation
remote
System control number
(OCoLC)733543403

Library Locations

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      38.944491 -92.326012
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