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Maličký, Peter ; Maličká, Marianna
On the computation of Aden functions. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 2-8
MSC: 33A40, 65D20, 78A45 | MR 1093478 | Zbl 0731.65010 | DOI: 10.21136/AM.1991.104439
Keywords:
Aden functions; continued fraction; Mie coefficients; light scattering of sphere particles; error estimates; Aden functions; downward recurrence; numerical results
Summary:
The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.
References:
[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
[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).
[3] D. Deirmendjian: Electromagnetic Scattering on Spherical Polydispersions. Elsevier, New York 1969 (Russian translation, Moskva, Mir, 1971).
[4] Ju. А. Iľjin S. A. Starcev: K voprosu о vyčislenii formul Mi na EVM. Kratkije soobščenija po fizike, (1984), N. 5, 34-37.
[5] W. B. Jones W. J. Thron: Continued Fractions. Analytic Theory and Applications. Addison- Wesley, London 1980 (Russian translation, Moskva, Mir, 1985). MR 0595864
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