Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-06-04T12:17:00.135Z Has data issue: false hasContentIssue false
  • English
  • Français

The Evaluation of Eigenvalues of a Differential Equation Arising in a Problem in Genetics

Published online by Cambridge University Press:  24 October 2008

G. F. Miller  and
E. T. Goodwin
G. F. Miller
Affiliation:
The National Physical LaboratoryTeddingtonMiddlesex
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper concerns the determination of the smallest eigenvalue of a second order differential equation containing two parameters which arises in problems concerning genic selection under random drift in a population of finite size. A table of values is given, the method of computation is described, and the asymptotic behaviour for large values of one of the parameters is investigated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 4 , October 1962 , pp. 588 - 593
Copyright
Copyright © Cambridge Philosophical Society 1962

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Clenshaw, C. W., The numerical solution of linear differential equations in Chebyshev series. Proc. Cambridge Philos. Soc. 53 (1957), 134–149.CrossRefGoogle Scholar
(2)Kimura, M., Stochastic processes and distribution of gene frequencies under natural selection. Cold Spring Harbor Symposia on Quantitative Biology, vol. 20 (1955), 33–53.CrossRefGoogle ScholarPubMed
(3)Kimura, M., Some problems of stochastic processes in genetics. Ann. Math. Statist. 28 (1957), 882–901.CrossRefGoogle Scholar
(4), N.P.L. Notes on Applied Science no. 16. Modern computing methods, 2nd ed. (H.M. Stationery Office; London, 1961.)Google Scholar
(5)Robertson, A., Selection for heterozygotes in small populations. Genetics (to appear).Google Scholar