Definition of eigenfunction in English:

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Pronunciation: /ˈʌɪɡənˌfʌn(k)ʃ(ə)n/


Mathematics & Physics
Each of a set of independent functions which are the solutions to a given differential equation.
Example sentences
  • In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.
  • Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.
  • From 1939 Titchmarsh concentrated on the theory of series expansions of eigenfunctions of differential equations, work which helped to resolve problems in quantum mechanics.
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