The efficient evaluation of the hypergeometric function of a matrix argument

  title={The efficient evaluation of the hypergeometric function of a matrix argument},
  author={Plamen Koev and Alan Edelman},
  journal={Math. Comput.},
We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix. 
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