Definition of eigenfunction in English:

eigenfunction

Syllabification: ei·gen·func·tion
Pronunciation: /ˈīgənˌfəNG(k)SHən
 
/

noun

Mathematics & Physics
  • Each of a set of independent functions that are the solutions to a given differential equation.
    More 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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