Wronskians and Linear Independence

被引:42
作者
Bostan, Alin [1 ]
Dumas, Philippe [1 ]
机构
[1] Inria Paris Rocquencourt, Algorithms Project, F-78153 Le Chesnay, France
关键词
D O I
10.4169/000298910X515785
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a new and simple proof of the fact that a finite family of analytic functions has a zero Wronskian only if it is linearly dependent.
引用
收藏
页码:722 / 727
页数:6
相关论文
共 24 条
[1]  
[Anonymous], 1944, Ordinary Differential Equations
[2]  
[Anonymous], 2006, An invitation to modern number theory
[3]  
[Anonymous], 1980, LECT NOTES MATH
[4]   The theory of linear dependence. [J].
Bocher, M .
ANNALS OF MATHEMATICS, 1900, 2 (01) :81-96
[5]  
Bocher M., 1900, B AM MATH SOC, V7, P120, DOI DOI 10.1090/50002-9904-1900-00771-3
[7]  
Cassels J.W.S., 1957, CAMBR TRACTS MATH MA, V45
[8]   The vanishing of the Wronskian and the problem of linear dependence [J].
Curtiss, DR .
MATHEMATISCHE ANNALEN, 1908, 65 :282-298
[9]   THE APPROXIMATION TO ALGEBRAIC NUMBERS BY RATIONALS [J].
DYSON, FJ .
ACTA MATHEMATICA, 1947, 79 (04) :225-240
[10]  
Frobenius G., 1874, J REINE ANGEW MATH, V77, P245