A formula for the hypergeometric function of type \(BC_n\)
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Publication:953098
DOI10.2140/pjm.2008.236.105zbMath1232.33023arXiv0706.3555OpenAlexW2963786603MaRDI QIDQ953098
Publication date: 14 November 2008
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.3555
determinantBerezinexplicit expressions for Heckman-Opdam hypergeometric differential operatorshypergeometric functions of type \(BC_n\)Karpelevič
Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)
Related Items (6)
Integrability of conformal blocks. I: Calogero-Sutherland scattering theory ⋮ Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank $1$ ⋮ Superconformal blocks in diverse dimensions and \textit{BC} symmetric functions ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\) ⋮ Higher-dimensional symmetry of \(\mathrm{AdS}_2\times\mathrm{S}^2\) correlators ⋮ \(L^2\)-Poisson integral representations of eigensections of invariant differential operators on a homogeneous line bundle over the complex Grassmann manifold \(SU(r,r+b)/S( U(r)\times U(r+b))\)
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