Transition densities for neutral multi-allele diffusion models.

  title={Transition densities for neutral multi-allele diffusion models.},
  author={R A Littler and E D Fackerell},
  volume={31 1},
Kimura [1955, 1956] partially solved the problem of finding the transition density function which describes the behavior of a diffusion model for evolution at one genetic locus with many neutral alleles. We complete the solution using a system of polynomials biorthogonal to polynomials suggested by Appell [1881] as generalizations of Jacobi polynomials. 

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