nLab Wronskian

Given a set of nn functions f 1,,f nf_1,\ldots,f_n, one can define the matrix

W(f 1,,f n)=(f 1 f 2 f n f 1 f 2 f n f 1 (n1) f 2 (n1) f n (n1)) W(f_1,\ldots,f_n) = \left( \array{f_1 & f_2 & \cdots & f_n\\ f_1' & f_2' &\cdots & f_n'\\ \cdot &\cdot &\cdot &\cdots\\ f_1^{(n-1)} & f_2^{(n-1)} &\cdots &f_n^{(n-1)}}\right)

The Wronskian is its determinant. It is used in the study of linear independence of solution of differential equations and in mathematical physics.

Last revised on December 9, 2020 at 15:44:48. See the history of this page for a list of all contributions to it.