| Title:
|
Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem (English) |
| Author:
|
Háčik, Miloš |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
291-296 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 0466.34016 |
| idMR:
|
MR621919 |
| . |
| Date available:
|
2009-09-25T09:15:29Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128848 |
| . |
| Reference:
|
[1] BLAŠKO R.: Contribution to higher monotonicity properties of certain Sturm-Liouville functions.Mathemat. Slovaca, to appear. |
| Reference:
|
[2] BUTLEWSKI Z.: Sur les intégrales ďune équation différentielle du second ordre.Mathematica Cluj, 12, 1936, 36-48. |
| Reference:
|
[3] HÁČIK M.: A note on higher monotonicity propeгties of ceгtain Sturm-Liouville functions.Archivum Mathematicum Brno, 3, 1980, 153-160. |
| Reference:
|
[4] LORCH L., MULDOON M. E., SZEGO P.: Higher monotonicity propeгties of certain Sturm-Liouville functions IV.Canad. J. Math., 1972, 349-368. MR 0298113 |
| Reference:
|
[5] MAKAI E.: On a monotonic property of certain Sturm-Liouville functions.Acta Math. Acad. Sci. Hungar. 3, 1952, 165-172. Zbl 0048.32302, MR 0054103 |
| Reference:
|
[6] SZEGO G.: Orthogonal polynomials.Amer. Math. Soc. Colloq. Publications 23, 3-rd edition, 1967. |
| Reference:
|
[7] WATSON G. N.: A treatise on the theory of Bessel functioпs.2-nd edition. Cambridge University Press, London, 1944. MR 0010746 |
| Reference:
|
[8] WILLETT D.: Classification of second order linear differential equations with respect to oscillation.Advances in Math., 3, No. 4, 1969, 594-623. Zbl 0188.40101, MR 0280800 |
| Reference:
|
[9] WIMAN A.: Über eine Stabilitätsfrage in der Theorie der linearen Differentialgleichungen.Acta Math. 66, 1936, 121-145. Zbl 0014.01902, MR 1555411 |
| . |
