An elementary approach to the hypergeometric shift operators of Opdam
نویسندگان
چکیده
منابع مشابه
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An Elementary Approach to the Gauss Hypergeometric Function
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15 صفحه اولHeckman-opdam Hypergeometric Functions and Their Specializations
is completely integrable and hence L(k) is in a commuting system of differential operators with n algebraically independent operators. Then we have the following fundamental result (cf. [1]). Theorem [Heckman, Opdam]. When kα are generic, the function F (λ, k;x) has an analytic extension on R and defines a unique simultaneous eigenfunction of the commuting system of differential operators with ...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1991
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01239517