The efficient summation of Schlömilch series of cylindrical functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 7, pp. 1081-1085
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@article{ZVMMF_1991_31_7_a12,
author = {V. F. Bondarenko},
title = {The efficient summation of {Schl\"omilch} series of cylindrical functions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1081--1085},
year = {1991},
volume = {31},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_7_a12/}
}
TY - JOUR AU - V. F. Bondarenko TI - The efficient summation of Schlömilch series of cylindrical functions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1991 SP - 1081 EP - 1085 VL - 31 IS - 7 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_7_a12/ LA - ru ID - ZVMMF_1991_31_7_a12 ER -
V. F. Bondarenko. The efficient summation of Schlömilch series of cylindrical functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 7, pp. 1081-1085. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_7_a12/
[1] Yanke E., Emde F., Lesh F., Spetsialnye funktsii. Formuly, grafiki, tablitsy, 3-e izd., Nauka, M., 1977
[2] Bondarenko V. F., Moshinskii A. V., “Preobrazovanie, uluchshayuschee skhodimost nekotorykh ryadov Shlemilkha”, Zh. vychisl. matem. i matem. fiz., 29:10 (1989), 1505–1513 | MR
[3] Shestopalov V. P., Summatornye uravneniya v sovremennoi teorii difraktsii, Nauk. dumka, Kiev, 1983 | MR
[4] Tversky V., “Elementary function representations of Schloemilch series”, Arch. Ration. Mech. and Analys., 8 (1961), 323–332 | DOI | MR
[5] Bondarenko V. F., Fedoryuk M. V., “Asimptotika summy ryada Shlemilkha”, Differents. ur-niya, 20:12 (1984), 2153–2156 | MR | Zbl