Geodesic
Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 2, pp. 212-234 
A. A. Abramov; A. L. Duischko; N. B. Konyukhova; T. V. Levitina. Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 2, pp. 212-234. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a2/
@article{ZVMMF_1991_31_2_a2,
     author = {A. A. Abramov and A. L. Duischko and N. B. Konyukhova and T. V. Levitina},
     title = {Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {212--234},
     year = {1991},
     volume = {31},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a2/}
}
TY  - JOUR
AU  - A. A. Abramov
AU  - A. L. Duischko
AU  - N. B. Konyukhova
AU  - T. V. Levitina
TI  - Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1991
SP  - 212
EP  - 234
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a2/
LA  - ru
ID  - ZVMMF_1991_31_2_a2
ER  - 
%0 Journal Article
%A A. A. Abramov
%A A. L. Duischko
%A N. B. Konyukhova
%A T. V. Levitina
%T Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1991
%P 212-234
%V 31
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a2/
%G ru
%F ZVMMF_1991_31_2_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Miller U., Simmetriya i razdelenie peremennykh, Mir, M., 1981 | MR

[2] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. III, Nauka, M., 1967 | MR

[3] Abramov A. A., Dyshko A. L., Konyukhova N. B., Levitina T. V., “Vychislenie uglovykh volnovykh funktsii Lame resheniem vspomogatelnykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 29:6 (1989), 813–830 | MR

[4] Abramov A. A., Dyshko A. L., 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

[5] Pak T. V., Issledovanie nekotorykh singulyarnykh zadach s parametrami dlya sistem obyknovennykh differentsialnykh uravnenii i vychislenie volnovykh sferoidalnykh funktsii, Dis. ...kand. fiz.-matem. nauk, VTs AN SSSR, M., 1986, 242 pp.

[6] Erofeenko V. T., Teoremy slozheniya, Nauka i tekhn., Minsk, 1989 | MR | Zbl

[7] Fedoryuk M. V., “Asimptotika radialnykh volnovykh funktsii Lame”, Zh. vychisl. matem. i matem. fiz., 28:5 (1988), 635–646 | MR

[8] Fedoryuk M. V., “Volnovoe uravnenie Lame”, Uspekhi matem. nauk, 44:1(265) (1989), 123–144 | MR | Zbl

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

[10] Konyukhova N. B., Pak T. V., “Difraktsiya ploskoi zvukovoi volny na zhestkom vytyanutom sferoide”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1985

[11] Fedoryuk M. V., “Difraktsiya zvukovykh voln na trekhosnom ellipsoide”, Akustich. zh., 34:1 (1988), 160–164 | MR

[12] Fedoryuk M. V., “Difraktsiya voln na trekhosnom ellipsoide”, Differents. ur-niya, 25:11 (1989), 1990–1995 | MR

[13] Dyshko A. L., Levitina T. V., “Vychislenie sobstvennykh znachenii i uglovykh sobstvennykh funktsii volnovogo uravneniya Lame. GosFAP, P050890000728”, Algoritmy i programmy, Inform. byul. VNTITsentra, 3, 1990, 6

[14] 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, Washington, D. C., 1971

[15] Gingold H., Rosenblat S., “Differential equations with moving singularities”, SIAM J. Math. Analys., 7:6 (1976), 942–957 | DOI | MR | Zbl