Geodesic
Calculation of prolate radial spheroidal wave functions using the Jaffé expansion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 9, pp. 1353-1363 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. V. Voshchinnikov; V. G. Farafonov. Calculation of prolate radial spheroidal wave functions using the Jaffé expansion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 9, pp. 1353-1363. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_9_a5/

[1] Meixner J., Schafke F. W., Mathieuche Funktionen und Sphäroidfunktionen, Springer, Berlin, 1954 | MR

[2] Komarov I. V., Ponomarev L. I., Slavyanov S. Yu., Sferoidalnye i kulonovskie sferoidalnye funktsii, Nauka, M., 1976 | MR | Zbl

[3] Flammer K., Tablitsy volnovykh sferoidalnykh funktsii, VTs AN SSSR, M., 1962 | MR

[4] Hanish S., Baier R. V., Van Buren A. Z., King B. J., Tables of radial spheroidal wave functions, U.S. Naval Res. Lab. Repts. No 7088-7090, D.C., Wahington, 1971

[5] Erashevskaya S. P., Ivanov E. A., Paltsev A. A., Sokolova N. D., Tablitsy sferoidalnykh volnovykh funktsii i ikh pervykh proizvodnykh, v. 1, Nauka i tekhn., Minsk, 1973 | Zbl

[6] Erashevskaya S. P., Ivanov E. A., Paltsev A. A., Sokolova N. D., Tablitsy sferoidalnykh volnovykh funktsii i ikh pervykh proizvodnykh, v. 2, Nauka i tekhn., Minsk, 1976

[7] Abramov A. A., Dyshko A. D., Konyukhova N. B. i dr., “Vychislenie vytyanutykh sferoidalnykh funktsii resheniem sootvetstvuyuschikh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:1 (1984), 3–18 | MR | Zbl

[8] Abramov A. A., Dyshko A. D., Konyukhova N. B., Levitina T. V., “Vychislenie radialnykh volnovykh funktsii dlya sferoidov i trekhosnykh ellipsoidov modifitsirovannym metodom fazovykh funktsii”, Zh. vychisl. matem. i matem. fiz., 31:2 (1991), 212–234 | MR | Zbl

[9] Lay W., Slavyanov S. Yu., “The central two-point connection problem for the Heun class of ODE”, J. Phys. A: Math. Gen., 31 (1998), 8521–8531 | DOI | MR | Zbl

[10] Voshchinnikov N. V., Farafonov V. G., “Optical properties of spheroidal particles”, Astrophys. Space Sci., 204 (1993), 19–86 | DOI

[11] Mishchenko M. I., Wiscombe W. J., Hovenier J. W., Travis L. D., “Overview of scattering by non-spherical particles”, Light Scattering by Nonspherical Particles, Acad. Press, San Francisco, 2000, 30–60