| Title:
|
A note on higher monotonicity properties of generalized Airy functions (English) |
| Author:
|
Háčik, Miloš |
| Author:
|
Ivan, Peter |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
93-101 |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
33A70 |
| MSC:
|
33E99 |
| MSC:
|
34A40 |
| MSC:
|
34B30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0585.33012 |
| idMR:
|
MR837032 |
| . |
| Date available:
|
2009-01-29T15:30:21Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120153 |
| . |
| Reference:
|
[1] Abramowitz M., Stegun I. A.: Handbook of Mathematical Functions.Nat. Bureau of Standards 1964. Zbl 0171.38503 |
| Reference:
|
[2] Blaško R., Háčik M., Vereš O.: Poznámka o vlastnostiach vyššej monotónnosti istých Sturm-Liouvilleových funkcií, zvlášť Besselových funkcií.Práce a štúdie VŠDS v Žiline (to appear) MR 0675941 |
| Reference:
|
[3] Kluvánek I., Mišík L., Švec M.: Matematika II.SVTL Bratislava 1961. |
| Reference:
|
[4] Korenev B. G.: Úvod do teorie Besselových funkcí.SNTL Praha 1977. |
| Reference:
|
[5] Laforgia A., Vosmanský J.: Higher monotonicity properties of generalized Airy functions.Consiglio Nazionale delle Ricerche (Italy) 1982 pp. 1-11. |
| Reference:
|
[6] Lorch L., Muldoon M. E., Szego P.: Higher monotonicity properties of certain Sturm- Liouville functions III.Canad. J. of Math. 22, 1970, pp. 1238-1265. Zbl 0212.40703, MR 0274845 |
| Reference:
|
[7] Vosmanský J.: Certain higher monotonicity properties of i-th derivatives of solutions of $y" + a(t)y' + b(t)y = 0$.Archivum Mathematicum (Brno) 10, 1974, pp. 87-102. MR 0399578 |
| Reference:
|
[8] Vosmanský J.: Distribution of zeros of solutions of linear second order differential equations.Transl. from Differ. uravnenija 15, 1979, pp. 2115-2124. MR 0559561 |
| Reference:
|
[9] Vosmanský J.: Monotonic properties of zeros and extremants of the diff. equation y" + q(t)y = 0.Archivum Mathematicum (Brno) 6, 1971, pp. 37 - 74. MR 0296420 |
| . |
