In the context of the Bingham probability distribution the ${ }_1F_1$ hypergeometric function of matrix argument naturally arises as a normalization constant of the probability distribution function. Thus, it is of interest to evaluate this function effectively. For the more general class of hypergeometric functions $ _pF_q$ of Matrix argument, an [algorithm][1] was given by Koev. However, this algorithm still has some open problems discussed in Koevs [paper][2]. My question is, whether there is a way to compute the normalization constant of a bingham distribution for arbitrary dimensions effectively.


  [1]: http://web.mit.edu/sea06/agenda/talks/Koev.pdf
  [2]: http://math.mit.edu/~plamen/files/hyper.pdf