Generalized Hypergeometric Functions

Gebonden Engels 1990 9780198535676
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Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarsky principle which expresses the analytical properties of a certain proto-gamma function. Professor Dwork develops here a theory which is broad enough to encompass several of the most important hypergeometric functions in the literature and their cohomology.

Specificaties

ISBN13:9780198535676
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:196

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Inhoudsopgave

Introduction; Multiplication by Xu (Gauss contiguity); Algebraic theory; Variation of Wa with g; Analytic theory; Deformation theory; Structure of Hg; Linear differential equations over a ring; Singularities (Generalities); Non-regular case; Modified Laplace transform; Algebraic theory of Laplace transform; Examples; Degenerative parameters; Value at the origin; Generic case; Formal analytic theory; Duality; Duality-analytic theory; Non degeneracy of Oa ; Fermat surface; References; Index of notation; Index.

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          Generalized Hypergeometric Functions