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Publication:3822484
zbMath0669.33007MaRDI QIDQ3822484
Publication date: 1988
Full work available at URL: http://www.numdam.org/item?id=CM_1988__67_1_21_0
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Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Simple, semisimple, reductive (super)algebras (17B20)
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Cites Work
- Unnamed Item
- Unnamed Item
- The Fourier transform of Harish-Chandra's \(c\)-function and inversion of the Abel transform
- Zonal spherical functions on some symmetric spaces
- Differential Operators on a Semisimple Lie Algebra
- Formulas for Elementary Spherical Functions and Generalized Jacobi Polynomials
- Orthogonal Polynomials in Two Variables. A Further Analysis of the Polynomials Orthogonal over a Region Bounded by Two Lines and a Parabola
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