| Title:
|
On the computation of Riccati-Bessel functions (English) |
| Author:
|
Maličký, Peter |
| Author:
|
Maličká, Marianna |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
6 |
| Year:
|
1990 |
| Pages:
|
487-493 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors. (English) |
| Keyword:
|
Riccati-Bessel functions |
| Keyword:
|
Miller method |
| Keyword:
|
Mie coefficients |
| MSC:
|
33A40 |
| MSC:
|
33C10 |
| MSC:
|
65D20 |
| MSC:
|
78A45 |
| idZBL:
|
Zbl 0736.65009 |
| idMR:
|
MR1089929 |
| DOI:
|
10.21136/AM.1990.104431 |
| . |
| Date available:
|
2008-05-20T18:40:26Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104431 |
| . |
| Reference:
|
[1] M. Abramowitz I. A. Stegun: Handbook of mathematical functions with formulas, graphs and mathematical tables.Washington, National Bureau of Standards, 1964 (Russian translation, Moskva, Nauka, 1979). MR 0757537 |
| Reference:
|
[2] C. F. Bohren D. R. Huffman: Absorption and Scattering of Light by Small Particles.J. Wiley, New York 1983 (Russian translation, Moskva, Mir, 1986). |
| Reference:
|
[3] M. Kerker: The Scattering of Light and Other Electromagnetic Radiation.Academic Press, New York 1969. |
| Reference:
|
[4] V. I. Smirnov: Kurs vysšej matematiki. Tom III.Časť 2. Moskva, Nauka, 1974. MR 0361650 |
| Reference:
|
[5] H. C. van de Hulst: Light Scattering by Small Particles.J. Wiley, New York 1957 (Russian translation, Moskva, Inostrannaja literatura, 1961). MR 0087467 |
| Reference:
|
[6] G. N. Watson: A Treatise on the Theory of Bessel Functions.University Press, Cambridge 1945. MR 1349110 |
| . |
