| Title:
|
Some monotonicity properties associated with the zeros of Bessel functions (English) |
| Author:
|
Lorch, Lee |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
137-146 |
| . |
| Category:
|
math |
| . |
| MSC:
|
33C10 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0731.33002 |
| idMR:
|
MR1188273 |
| . |
| Date available:
|
2008-06-06T06:21:42Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107381 |
| . |
| Reference:
|
[1] Milton Abramowitz: Zeros of certain Bessel functions of fractional order.Math. Comp.. (then Math. Tables and other Aids to Comp.) 1 (1943-1945), 353-354. MR 0011176 |
| Reference:
|
[2] Á. Elbert, A. Laforgia: On the square of the zeros of Bessel functions.SIAM J. Math. Anal. 15 (1984), 206-212. Zbl 0541.33001, MR 0728696 |
| Reference:
|
[3] Mourad E. H. Ismail, Martin E. Muldoon: On the Variation with respect to a parameter of zeros of Bessel and q-Bessel functions.J. Math. Anal. and Appl. 135 (1988), 187-207. MR 0960813 |
| Reference:
|
[4] E. Jahnke F. Emde, F. Lösch: Tables of higher functions.6th ed., McGraw-Hill, New York, 1960. MR 0114317 |
| Reference:
|
[5] Andrea Laforgia, Martin E. Muldoon: Inequalities and approximations for zeros of Bessel functions of small order.SIAM J. Math. Anal. 14 (1983), 383-388. MR 0688582 |
| Reference:
|
[6] Andrea Laforgia, Martin E. Muldoon: Monotonicity and Concavity Properties of Bessel functions.J. Math. Anal. and Appl., 98 (1984), 470-477. MR 0730520 |
| Reference:
|
[7] Andrea Laforgia, Martin E. Muldoon: Monotonicity properties of zeros of generalized Airy Functions.J. Appl. Math, and Physics (ZAMP) 39 (1988), 267-271. MR 0937702 |
| Reference:
|
[8] J. T. Lewis, M. E. Muldoon: Monotonicity and convexity of properties of zeros of Bessel functions.SIAM J. Math. Anal. 8 (1977), 171-178. MR 0437823 |
| Reference:
|
[9] Lee Lorch, Donald J. Newman: A supplement to the Sturm separation theorem, with applications.Amer. Math. Monthly 72 (1965), 359-366. MR 0176147 |
| Reference:
|
[10] Lee Lorch, Peter 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:
|
[11] E. Makai: On zeros of Bessel functions.Univ. Beograd publ. Elektrotechn. Fak. Ser. Mat. fiz. N 602-633 (1978), 109-110. Zbl 0434.33006, MR 0580430 |
| Reference:
|
[12] R. McCann: Inequalities for the zeros of Bessel functions.SIAM J. Math. Anal. 8 (1977) 166-170. Zbl 0548.33004, MR 0422722 |
| Reference:
|
[13] F. W. J. Olver: Royal Society Mathematical Tables, 7, Bessel functions.Part III. Zeros and associated values. The University Press. Cambridge. 1960. MR 0119441 |
| Reference:
|
[14] G. N. Watson: A treatise on the theory of Bessel functions.2nd ed., University Press, Cambridge, 1944. Zbl 0063.08184, MR 0010746 |
| . |
