Source Identities and Kernel Functions for the Deformed Koornwinder–van Diejen Models

@article{Atai2019SourceIA,
  title={Source Identities and Kernel Functions for the Deformed Koornwinder–van Diejen Models},
  author={Farrokh Atai},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={377},
  pages={2191-2216}
}
  • F. Atai
  • Published 18 June 2019
  • Mathematics
  • Communications in Mathematical Physics
We consider generalizations of the BC -type relativistic Calogero–Moser–Sutherland models, comprising of the rational, trigonometric, hyperbolic, and elliptic cases, due to Koornwinder and van Diejen, and construct an explicit eigenfunction for these generalizations. In special cases, we find the various kernel function identities, and also a Chalykh–Feigin–Sergeev–Veselov type deformation of these operators and their corresponding kernel functions, which generalize the known kernel functions… 
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