The order of a zero of a Wronskian and the theory of linear dependence

Joseph M. Szucs

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 6, page [515]-522
  • ISSN: 0139-9918

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Szucs, Joseph M.. "The order of a zero of a Wronskian and the theory of linear dependence." Mathematica Slovaca 57.6 (2007): [515]-522. <http://eudml.org/doc/34667>.

@article{Szucs2007,
author = {Szucs, Joseph M.},
journal = {Mathematica Slovaca},
keywords = {order of a root of a Wronskian; Wroskian matrix; linear independence of functions},
language = {eng},
number = {6},
pages = {[515]-522},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The order of a zero of a Wronskian and the theory of linear dependence},
url = {http://eudml.org/doc/34667},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Szucs, Joseph M.
TI - The order of a zero of a Wronskian and the theory of linear dependence
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 6
SP - [515]
EP - 522
LA - eng
KW - order of a root of a Wronskian; Wroskian matrix; linear independence of functions
UR - http://eudml.org/doc/34667
ER -

References

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  2. BOCHER M., Certain cases in which the vanishing of the Wronskian is a sufficient condition for linear dependence, Trans. Amer. Math. Soc. 2 (1901), 139-149. (1901) MR1500560
  3. BOCHER M., On Wronskians of functions of a real variable, Bull. Amer. Math. Soc. 8 (1901), 53-63. (1901) MR1557843
  4. CHAUNDY T. W., The vanishing of the Wronskian, J. London Math. Soc. 8 (1933), 4-9. (1933) Zbl0006.24502MR1574782
  5. CHRISTOFFEL E. B., Ueber die lineare Abhangigkeit von Functionen einer einzige Veranderlichen, J. Reine Angew. Math. 55 (1858), 281-299. 
  6. CURTISS D. R., On certain properties of Wronskians and related matrices, Bull. Amer. Math. Soc. 12 (1906), 482-485. (1906) MR1558376
  7. CURTISS D. R., The vanishing of the Wronskian and the problem of linear dependence, Math. Ann. 65 (1908), 282-298. (1908) MR1511467
  8. FROBENIUS G., Über den Begriff der Irreduchbilität in der Theone der linearen Differentialgleichungen, J. Reine Angew. Math. 76 (1873), 236-270. 
  9. HARDY G. H., A Course of Pure Mathematics, (10th ed.), Cambridge University Press, Cambridge, 1952. [Reissued in: Cambridge Mathematical Lib., 1992, reprinted 1994.] (1952) Zbl0047.28304MR0049254
  10. MOSZNER Z., Sur le wronskien et la dependance lineaire des fonctions, Bull. Sci. Math. (2) 85 (1961), 161-190. (1961) Zbl0106.27101MR0139701
  11. PEANO G., Sul deterrmnante Wronskiano, Rend. Reale Accad. Lincei (5) 6 (1897), 413-415. 
  12. SZUCS J. M., When dim = constant implies subspace = const, Acta Sci. Math. (Szeged) 66 (2000), 541-552. MR1804207
  13. SZUCS J. M., The size of the set of zeros of a Wronskian, Math. Slovaca 51 (2001), 69-74. Zbl0999.26001MR1817724

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