Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem

Miloš Háčik

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 3, page 291-296
  • ISSN: 0232-0525

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Háčik, Miloš. "Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem." Mathematica Slovaca 31.3 (1981): 291-296. <http://eudml.org/doc/31637>.

@article{Háčik1981,
author = {Háčik, Miloš},
journal = {Mathematica Slovaca},
keywords = {higher monotonicity properties; Kummer's transformation},
language = {eng},
number = {3},
pages = {291-296},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem},
url = {http://eudml.org/doc/31637},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Háčik, Miloš
TI - Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 3
SP - 291
EP - 296
LA - eng
KW - higher monotonicity properties; Kummer's transformation
UR - http://eudml.org/doc/31637
ER -

References

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  1. BLAŠKO R., Contribution to higher monotonicity properties of certain Sturm-Liouville functions, Mathemat. Slovaca, to appear. 
  2. BUTLEWSKI Z., Sur les intégrales ďune équation différentielle du second ordre, Mathematica Cluj, 12, 1936, 36-48. (1936) 
  3. HÁČIK M., A note on higher monotonicity propeгties of ceгtain Sturm-Liouville functions, Archivum Mathematicum Brno, 3, 1980, 153-160. (1980) 
  4. LORCH L., MULDOON M. E., SZEGO P., Higher monotonicity propeгties of certain Sturm-Liouville functions IV, Canad. J. Math., 1972, 349-368. (1972) MR0298113
  5. MAKAI E., On a monotonic property of certain Sturm-Liouville functions, Acta Math. Acad. Sci. Hungar. 3, 1952, 165-172. (1952) Zbl0048.32302MR0054103
  6. SZEGO G., Orthogonal polynomials, Amer. Math. Soc. Colloq. Publications 23, 3-rd edition, 1967. (1967) 
  7. WATSON G. N., A treatise on the theory of Bessel functioпs, 2-nd edition. Cambridge University Press, London, 1944. (1944) MR0010746
  8. WILLETT D., Classification of second order linear differential equations with respect to oscillation, Advances in Math., 3, No. 4, 1969, 594-623. (1969) Zbl0188.40101MR0280800
  9. WIMAN A., Über eine Stabilitätsfrage in der Theorie der linearen Differentialgleichungen, Acta Math. 66, 1936, 121-145. (1936) Zbl0014.01902MR1555411

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