On the computation of Aden functions

Peter Maličký; Marianna Maličká

Applications of Mathematics (1991)

  • Volume: 36, Issue: 1, page 2-8
  • ISSN: 0862-7940

Abstract

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The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.

How to cite

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Maličký, Peter, and Maličká, Marianna. "On the computation of Aden functions." Applications of Mathematics 36.1 (1991): 2-8. <http://eudml.org/doc/15655>.

@article{Maličký1991,
abstract = {The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.},
author = {Maličký, Peter, Maličká, Marianna},
journal = {Applications of Mathematics},
keywords = {Aden functions; continued fraction; Mie coefficients; light scattering of sphere particles; error estimates; Aden functions; downward recurrence; numerical results; continued fraction; Mie coefficients; light scattering of sphere particles; Error estimates; Aden functions; downward recurrence; Numerical results},
language = {eng},
number = {1},
pages = {2-8},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the computation of Aden functions},
url = {http://eudml.org/doc/15655},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Maličký, Peter
AU - Maličká, Marianna
TI - On the computation of Aden functions
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 2
EP - 8
AB - The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.
LA - eng
KW - Aden functions; continued fraction; Mie coefficients; light scattering of sphere particles; error estimates; Aden functions; downward recurrence; numerical results; continued fraction; Mie coefficients; light scattering of sphere particles; Error estimates; Aden functions; downward recurrence; Numerical results
UR - http://eudml.org/doc/15655
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. D. Deirmendjian, Electromagnetic Scattering on Spherical Polydispersions, Elsevier, New York 1969 (Russian translation, Moskva, Mir, 1971). (1969) 
  4. Ju. А. Iľjin S. A. Starcev, K voprosu о vyčislenii formul Mi na EVM, Kratkije soobščenija po fizike, (1984), N. 5, 34-37. (1984) 
  5. W. B. Jones W. J. Thron, Continued Fractions. Analytic Theory and Applications, Addison- Wesley, London 1980 (Russian translation, Moskva, Mir, 1985). (1980) Zbl0445.30003MR0595864

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