The size of the set of zeros of a Wronskian

Joseph M. Szucs

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 1, page 69-74
  • ISSN: 0139-9918

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Szucs, Joseph M.. "The size of the set of zeros of a Wronskian." Mathematica Slovaca 51.1 (2001): 69-74. <http://eudml.org/doc/34528>.

@article{Szucs2001,
author = {Szucs, Joseph M.},
journal = {Mathematica Slovaca},
keywords = {Wronskian; derivative function; identical vanishing of a Wronskian; Christoffel identity; theorem of Curtiss},
language = {eng},
number = {1},
pages = {69-74},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The size of the set of zeros of a Wronskian},
url = {http://eudml.org/doc/34528},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Szucs, Joseph M.
TI - The size of the set of zeros of a Wronskian
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 1
SP - 69
EP - 74
LA - eng
KW - Wronskian; derivative function; identical vanishing of a Wronskian; Christoffel identity; theorem of Curtiss
UR - http://eudml.org/doc/34528
ER -

References

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  1. BANAS Ј.-EL-SAYED W. G., Darboux property of the Wronski determinant, Math. Slovaca 45 (1995), 57-61. (1995) Zbl0827.26004MR1335841
  2. BENTLEY D. L.-COOKE K. L., Linear Algebra with Differential Equations, Holt, Reinhart and Winston. Inc, New York, 1973. (1973) Zbl0337.34001MR0354706
  3. 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
  4. CHAUNDY T. W., The vanishing of the Wronskian, J. London Math. Soc. 8 (1933), 4-9. (1933) Zbl0006.24502MR1574782
  5. CURTISS D. R., On certain properties of Wronskians and related matrices, Bull. Amer. Math. Soc. 12 (1906), 482-485. (1906) MR1558376
  6. CURTISS D. R., The vanishing of the Wronskian and the problem of linear dependence, Math. Ann. 65 (1908), 282-298. (1908) MR1511467
  7. CHRISTOFFEL E. B., Über die lineare Abhängigkeit von Functionen einer einzigen Veränderlichen, J. Reine Angew. Math. 55 (1858), 281-299. 
  8. DENJOY A., Sur une propriéte des fonctions dérivées, Enseign. Math. 18 (1916). 320-328. (1916) 
  9. MEISTERS G. H., Local linear dependence and the vanishing of the Wronskian, Amer. Math. Monthly 68 (1961), 847-856. (1961) Zbl0102.04703MR0130934
  10. PASCH M., Note über die Determinanten, welche aus Functionen und deren Differentialen gebildet werden, J. Reine Angew. Math. 80 (1875), 177-182. 

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