| Title:
|
Higher monotonicity properties of special functions: application on Bessel case $|\nu| < \frac{1}{2}$ (English) |
| Author:
|
Došlá, Zuzana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
233-241 |
| . |
| Category:
|
math |
| . |
| MSC:
|
33C10 |
| MSC:
|
34A40 |
| MSC:
|
34A99 |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 0721.34028 |
| idMR:
|
MR1077894 |
| . |
| Date available:
|
2008-06-05T21:43:37Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106853 |
| . |
| Reference:
|
[1] P. Hartman: On differential equations and the function $J^2_\mu + Y^2_\mu$.Amer. J. Math 83 (1961), 154-188. Zbl 0096.27001, MR 0123039 |
| Reference:
|
[2] P. Hartman: On differential equations, Volterra equations and the functions $J^2_\mu + Y^2_\mu$.Amer. J. Math 95 (1973), 552-593. MR 0333308 |
| Reference:
|
[3] L. Lorch D. J. Neuman: On the composition of completely monotonic functions and completely monotonic sequences and related questions.J. London Math. Soc. (2), 28 (1983), 31-45. MR 0703462 |
| Reference:
|
[4] L. Lorch P. Szego: Monotonicity of the differences of zeros of Bessel functions as a function of order.Proc. Amer. Math. Soc. 15 (1964), 91-96. MR 0158106 |
| Reference:
|
[5] L. Lorch P. Szego: Higher monotonicity properties of certain Sturm-Liouville functions.Acta Math. 109 (1963), 55-73. MR 0147695 |
| Reference:
|
[6] L. Lorch M. E. Muldoon P. Szego: Higher monotonicity properties of certain Sturm-Liouville functions, III..Canad. J. Math. 22 (1970), 1238-1265. MR 0274845 |
| Reference:
|
[7] L. Lorch M. E. Muldoon P. Szego: Higher monotonicity properties of certain Sturm-Liouville functions, IV..Canad. J. Math. 24 (1972), 349-368. MR 0298113 |
| Reference:
|
[8] M. E. Muldoon: Higher monotonicity properties of certain Sturm-Liouville functions.Proceedings of the Royal Society of Edinburgh 77A (1977), 23-37. Zbl 0361.34027, MR 0445033 |
| Reference:
|
[9] J. Vosmanský: Monotonic properties of zeros and extremants of the differential equation $y" + q(t)y = 0$.Arch. Match. (Brno) 6 (1970), 37-74. MR 0296420 |
| Reference:
|
[10] J. Vosmanský: Certain higher monotonicity properties of i-th derivatives of solutions of $y" + a(t)y' + b(t)y = 0$.Arch. Math. (Brno) 10 (1974), 87-102. MR 0399578 |
| Reference:
|
[11] D. V. Widder: The Laplace Transform.Princeton Univ. Press 1941. Zbl 0063.08245, MR 0005923 |
| Reference:
|
[12] Z. Došlá M. Háčik M. E. Muldoon: Further higher monotonicity properties of Sturm-Liouville functions.to appear. MR 1242631 |
| . |
