@article{ZVMMF_2008_48_9_a1,
author = {M. K. Kerimov},
title = {Overview of some new results concerning the theory and applications of the {Rayleigh} special function},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1540--1542},
year = {2008},
volume = {48},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a1/}
}
TY - JOUR AU - M. K. Kerimov TI - Overview of some new results concerning the theory and applications of the Rayleigh special function JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 1540 EP - 1542 VL - 48 IS - 9 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a1/ LA - ru ID - ZVMMF_2008_48_9_a1 ER -
%0 Journal Article %A M. K. Kerimov %T Overview of some new results concerning the theory and applications of the Rayleigh special function %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 1540-1542 %V 48 %N 9 %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a1/ %G ru %F ZVMMF_2008_48_9_a1
M. K. Kerimov. Overview of some new results concerning the theory and applications of the Rayleigh special function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 9, pp. 1540-1542. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_9_a1/
[1] Kerimov M. K., “The Rayleigh function: theory and methods of its calculation”, Comput. Math. and Math. Phys., 39:12 (1999), 1883–1925 | MR | Zbl
[2] Rayleigh (Strutt J. W.), “Note on the numerical calculus of the roots of fluctuating functions”, Proc. London Math. Soc., 5 (1874), 112–194; Scientific Papers, v. 1, 1899, 190–195
[3] Watson G. N., A treatise on the theory of Bessel functions, 2nd ed., Cambridge Univ. Press, Cambridge, 1944 ; Vatson G. H., Teoriya besselevykh funktsii, Perev. s angl. B. C. Bermana, v. 1, 2, Izd-vo inostr. lit., M., 1949 | MR | Zbl
[4] Kerimov M. K., “Nekotorye zamechaniya o rabotakh, posvyaschennykh summirovaniyu ryadov s obratnymi stepenyami nulei funktsii Besselya I roda”, Zh. vychisl. matem. i matem. fiz., 47:2 (2007), 186–188 | MR | Zbl
[5] Kapitsa P. L., “Teploprovodnost i diffuziya v zhidkoi srede pri periodicheskom techenii. I. Opredelenie velichiny koeffitsienta volnovogo perenosa v trube, v scheli i v kanale”, Zh. eksperim. i teor. fiz., 21:9 (1951), 964–978
[6] Kapitsa P. L., “Vychislenie summ otritsatelnykh chetnykh stepenei kornei besselevykh funktsii”, Dokl. AN SSSR, 1951, no. 2, 561–564
[7] Meiman H. H., “O rekurrentnykh formulakh dlya stepenei summ nulei besselevykh funktsii”, Dokl. AN SSSR, 108:2 (1956), 190–193 | MR