Literature Cited
V. Z. Vlasov, Collected Works [in Russian], Vol. 1, Academy of Sciences of the USSR, Moscow (1962).
E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics Chelsea, New York (1955).
E. A. Ivanov, “Scattering of a plane electromagnetic wave by several spheres”, Diff. Urav.,2, No. 6 (1966).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, Interscience, New York (1958).
V. S. Kobychkin, V. P. Shmakov, and V. A. Yablokov, “Axially symmetric oscillations of a hemispherical shell partially filled with a liquid”, Inzh. Zh., Mekh, Tverd. Tela, No. 5 (1968).
G. N. Savin and A. N. Guz', “A method for solving two-dimensional problems of the moment theory of elasticity for multiply connected domains”, Prikladnaya Mekhanika,2, No. 1 (1966).
B. Friedman and J. Russek, “Addition theorems for spherical waves”, Quart. Appl. Math.,12, No. 1, 13–23 (1954).
C. Huang, “Longitudinal sloshing of liquid in a flexible hemispherical tank”, Trudy ASME, Ser. E,32, No. 3 (1965).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 6, No. 3, pp. 82–88, August, 1970.
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Pal'ko, L.S. Axially symmetric oscillations of a spherical shell in a compressible liquid with a free surface. Soviet Applied Mechanics 6, 872–877 (1970). https://doi.org/10.1007/BF00889433
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DOI: https://doi.org/10.1007/BF00889433