Geodesic
Method of asymptotic perturbations of a fundamental solution and calculation of integrals containing Bessel functions of arbitrary integer orders
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 1, pp. 91-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. I. Selin. Method of asymptotic perturbations of a fundamental solution and calculation of integrals containing Bessel functions of arbitrary integer orders. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 1, pp. 91-111. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a10/

[1] Sommerfeld A., “Über die Ausbreitung der Wellen in der duftlosen Telegraphie”, Ann. Physik, 28 (1909), 665–737 | DOI

[2] Tikhonov A. N., Shakhsuvarov D. N., “Metod rascheta elektromagnitnykh polei, vozbuzhdaemykh peremennym tokom v sloistykh sredakh”, Izv. AN SSSR. Geofiz., 1956, no. 3, 245–251 | MR

[3] Tikhonov A. N., “Ob asimptoticheskom povedenii integralov, soderzhaschikh besselevy funktsii”, Dokl. AN SSSR, 125:5 (1959), 982–985 | Zbl

[4] Foster R. M., “Mutial impedance of grounded wires lying on-the surface of the earth”, Bell System Techn. J., 10 (1931), 408–412

[5] Baños A. J., Dipole radiation in the presence of a conducting half-space, Pergamon Press, Oxford, 1966

[6] Brekhovskikh L. M., Volny v sloistykh sredakh, Nauka, M., 1973

[7] Felsen L., Markuvits N., Izluchenie i rasseyanie voln, v. 1–2, Mir, M., 1978, 556 pp.

[8] Wan der Pol, “Über die Ausbreitung electromagnetischer Wellen”, Z. Hochfrequenztechnik, 37 (1931), 152–56

[9] Dmitriev V. I., Fedorova E. A., “Chislennoe issledovanie polya vertikalnogo dipolya v sloistoi dielektricheskoi srede”, Elektromagn. zondirovanie Zemli i Luny, Izd-vo MGU, M., 1975, 14–22

[10] Dmitriev V. I., Elektromagnitnye polya v neodnorodnykh sredakh, Izd-vo MGU, M., 1969

[11] Kuo W. C., Mei K. K., “Numerical approximations of the Sommerfeld”, Radio Science, 13:3 (1978), 407–415 | DOI | MR

[12] Maslov V. P., Operatornye metody, Nauka, M., 1973 | MR

[13] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Fizmatgiz, M., 1958 | MR