Summary
Whenq n is a parameter of a population in generationn,q n+1 is often a simple function ofq n. If so,n is an automorphic function ofq n. A simple transformation ofq n permits the expression ofn as an infinite series which often converges quickly, and allows numerical calculation. It is sometimes possible to obtain a very close approximation to the value ofn in terms of logarithms. Examples are given.
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Haldane, J.B.S., Jayakar, S.D. The solution of some equations occurring in population genetics. J Genet 58, 291–317 (1963). https://doi.org/10.1007/BF02986300
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DOI: https://doi.org/10.1007/BF02986300