On the computation of Riccati-Bessel functions

Peter Maličký; Marianna Maličká

Aplikace matematiky (1990)

  • Volume: 35, Issue: 6, page 487-493
  • ISSN: 0862-7940

Abstract

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The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.

How to cite

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Maličký, Peter, and Maličká, Marianna. "On the computation of Riccati-Bessel functions." Aplikace matematiky 35.6 (1990): 487-493. <http://eudml.org/doc/15649>.

@article{Maličký1990,
abstract = {The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.},
author = {Maličký, Peter, Maličká, Marianna},
journal = {Aplikace matematiky},
keywords = {Riccati-Bessel functions; Miller method; Mie coefficients; Riccati-Bessel functions; Miller method},
language = {eng},
number = {6},
pages = {487-493},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the computation of Riccati-Bessel functions},
url = {http://eudml.org/doc/15649},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Maličký, Peter
AU - Maličká, Marianna
TI - On the computation of Riccati-Bessel functions
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 6
SP - 487
EP - 493
AB - The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.
LA - eng
KW - Riccati-Bessel functions; Miller method; Mie coefficients; Riccati-Bessel functions; Miller method
UR - http://eudml.org/doc/15649
ER -

References

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  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). (1964) Zbl0171.38503MR0757537
  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). (1983) 
  3. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation, Academic Press, New York 1969. (1969) 
  4. V. I. Smirnov, Kurs vysšej matematiki. Tom III, Časť 2. Moskva, Nauka, 1974. (1974) MR0361650
  5. H. C. van de Hulst, Light Scattering by Small Particles, J. Wiley, New York 1957 (Russian translation, Moskva, Inostrannaja literatura, 1961). (1957) MR0087467
  6. G. N. Watson, A Treatise on the Theory of Bessel Functions, University Press, Cambridge 1945. (1945) MR1349110

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