Transition densities for neutral multi-allele diffusion models.
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.
D000483:Alleles; D005075:Biological Evolution; D005787:Gene Frequency; D008433:Mathematics; D008962:Models, Theoretical; D013223:Statistics as Topic