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Theory of Hypergeometric Functions
Aomoto, Kazuhiko; Kita, Michitake
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Description for Theory of Hypergeometric Functions
Paperback. This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. It shows that hypergeometric integrals generally satisfy holonomic system of linear differential equations. Translator(s): Iohara, Kenji. Series: Springer Monographs in Mathematics. Num Pages: 336 pages, 5 black & white tables, biography. BIC Classification: PBKF; PBM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 18. Weight in Grams: 516.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer Verlag, Japan Japan
Number of pages
336
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
320
Place of Publication
Tokyo, Japan
ISBN
9784431540878
SKU
V9784431540878
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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