| Title:
|
On the zeros of a function related to Bessel functions (English) |
| Author:
|
Muldoon, M. E. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1982 |
| Pages:
|
23-34 |
| . |
| Category:
|
math |
| . |
| MSC:
|
33C10 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0504.33005 |
| idMR:
|
MR683343 |
| . |
| Date available:
|
2008-06-06T06:10:19Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107120 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[11] M. E. H. Ismail, M. E. Muldoon: Monotonicity of the zeros of a cross-product of Bessel functions.SIAM. J. Math. Anal. 9 (1978), 759-767. Zbl 0388.33005, MR 0486686 |
| Reference:
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[12] E. Jähnke F. Emde, F. Lösch: Tables of higher functions.6th ed., McGraw-Hill, New York, 1960. MR 0114317 |
| Reference:
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[13] K. Kreith: Comparison theorems for non-self-adjoint differential equations based on integral inequalities.Proc. Amer. Math. Soc. 34 (1972), 105-109. MR 0304770 |
| Reference:
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| Reference:
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| Reference:
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[16] A. Yu. Levin: A comparison principle for second-order differential equations.Soviet Math. Doklady 1 (1960), 1313-1316. [Russian original, Dokl. Akad. Nauk SSSR 136 (1960), 783-786.] Zbl 0102.07801, MR 0124563 |
| Reference:
|
[17] J. T. Lewis, M. E. Muldoon: Monotonicity and convexity properties of zeros of Bessel functions.SIAM. J. Math. Anal. 8 (1977), 171-178. Zbl 0365.33004, MR 0437823 |
| Reference:
|
[18] L. Lorch: Comparison of two formulations of Sonin's theorem and of their respective applications to Bessel functions.Studia Sci. Math. Hungar. 1 (1966), 141-145. Zbl 0148.30101, MR 0204723 |
| Reference:
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| Reference:
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[20] E. Makai: On a monotonic property of certain Sturm-Liouville functions.Acta. Math. Acad. Sci. Hungar. 3 (1952), 165-172. Zbl 0048.32302, MR 0054103 |
| Reference:
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| Reference:
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[22] A. D. Rawlins: A new class of Bessel function inequality useful for investigating the roots of a class of transcendental equation involving Bessel functions.Proc. Roy. Soc. Edinburgh 74A (1974-1975), 231-238. MR 0440089 |
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| . |
