Wronskians and Linear Independence

@article{Bostan2010WronskiansAL,
  title={Wronskians and Linear Independence},
  author={A. Bostan and P. Dumas},
  journal={The American Mathematical Monthly},
  year={2010},
  volume={117},
  pages={722 - 727}
}
  • A. Bostan, P. Dumas
  • Published 2010
  • Mathematics, Computer Science
  • The American Mathematical Monthly
    • Abstract 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. 
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      References

      SHOWING 1-10 OF 43 REFERENCES
      Rational approximations to algebraic numbers
      • 421
      Rational approximations to algebraic numbers
      • 229
      Lectures on differential Galois theory
      • 152
      • PDF
      Waring's Problem for the Ring of Polynomials
      • 32
      Associative homotopy Lie algebras and Wronskians
      • 5
      • PDF
      Certain cases in which the vanishing of the Wronskian is a sufficient condition for linear dependence
      • 17
      • PDF
      Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations
      • 554
      On the linear dependence of functions of one variable
      • 3
      • PDF
      Why Does the Wronskian Work
      • 12
      from An Invitation to Modern Number Theory
      • 138
      • PDF