@article{ZVMMF_1996_36_8_a7,
author = {M. K. Kerimov},
title = {Special functions which occur in the theory of nonlinear oscillations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {57--72},
year = {1996},
volume = {36},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a7/}
}
TY - JOUR AU - M. K. Kerimov TI - Special functions which occur in the theory of nonlinear oscillations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1996 SP - 57 EP - 72 VL - 36 IS - 8 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a7/ LA - ru ID - ZVMMF_1996_36_8_a7 ER -
M. K. Kerimov. Special functions which occur in the theory of nonlinear oscillations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 57-72. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a7/
[1] Smirnov A. D., Tablitsy funktsii Eiri i spetsialnykh vyrozhdennykh gipergeometricheskikh funktsii dlya asimptoticheskikh reshenii differentsialnykh uravnenii vtorogo poryadka, Izd-vo AN SSSR, M., 1955
[2] Dorodnitsyn A. A., “Asimptoticheskie zakony raspredeleniya sobstvennykh znachenii dlya nekotorykh osobykh vidov differentsialnykh uravnenii vtorogo poryadka”, Uspekhi matem. nauk, 7:6 (1952), 3–96
[3] Amer. Math. Translations, 88, ed. W. R. Wasow, 1953, Transl. by C. D. Benster; Nat. Bur. Standards. Rept. 2489, 1953
[4] Kerimov M. K., “Pamyati Anatoliya Alekseevicha Dorodnitsyna”, Zh. vychisl. matem. i matem. fiz., 35:6 (1995), 819–842 | MR
[5] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Izd. 4-e, Nauka, M., 1974 | MR
[6] M. Abramowitz, I. A. Stegun (eds.), Handbook of mathematical functions with formulas, graphs and mathematical tables, Dover Publs. Inc., New York, 1965 ; Spravochnik matematicheskikh funktsii s formulami, grafikami i matematicheskimi tablitsami, Nauka, M., 1979 | MR | Zbl
[7] Mischenko E. F., Rozov N. Kh., Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya, Nauka, M., 1975 | MR
[8] Zharov M. I., Mischenko E. F., Rozov N. Kh., “O nekotorykh spetsialnykh funktsiyakh i konstantakh, voznikayuschikh v teorii relaksatsionnykh kolebanii”, Dokl. AN SSSR, 261:6 (1981), 1292–1296 | MR | Zbl
[9] Haag J., “Etude asumptotique des oscillations de relaxation”, Ann. scient. de l'Ecole normale superieure, 60:1–2 (1943), 35–111 ; 61:2 (1944), 73–117 | MR | Zbl | MR | Zbl
[10] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971 | MR
[11] Yanke E., Emde F., Lësh F., Spetsialnye funktsii—formuly, grafiki, tablitsy, Nauka, M., 1968