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.
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Reader will understand clearly multidimensional hypergeometric function as a natural extension of the classical one from viewpoint of integrals A quick introduction to rational de Rham cohomology due to A.Grothendieck and P.Deligne and also to holonomic differential equations (or Gauss-Manin connection) and difference equations associated with hypergeometric functions Application of hypergeometric functions to several analytic or geometric problems Includes supplementary material: sn.pub/extras
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Product details
ISBN
9784431540878
Published
2013-07-15
Publisher
Springer Verlag, Japan
Height
235 mm
Width
155 mm
Age
Professional/practitioner, P, 06
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
16
Appendix by
Translated by