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Titlebook: Mathematical Problems in Wave Propagation Theory; V. M. Babich Book 1970 Consultants Bureau, New York 1970 elasticity.Helmholtz equation.m

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發(fā)表于 2025-3-23 13:22:04 | 只看該作者
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The Expansion of an Arbitrary Function in Terms of an Integral of Associated Legendre Functions of ding a given function ψ.(x) in an integral of associated Legendre functions. The necessity of such transformations arises, for example, in problems related to the use of toroidal and ellipsoidal coordinates.
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Solution of Three-Dimensional Problems for the Hyperboloid of Revolution and the Lens in Electricalthe coefficients, a generalization of the Mehler-Fok integral theorem to the case . ft is used. The final expressions for the potential functions are given in the form of series whose coefficients are given by real integrals.
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發(fā)表于 2025-3-24 02:01:23 | 只看該作者
heory of wave propagation and diffraction. The paper by V. M. Babich is concerned with the application of the parabolic-equation method (of Academician V. A. Fok and M. A, Leontovich) to the problem of the asymptotic behavior of eigenfunc- tions concentrated in a neighborhood of a closed geodesie in
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various applications including, e.g., spectral sensitization [., .], fluorescent labels [.,.] and probes [.,.] for biochemical applications, or laser dyes [.] The general molecular structure of all three types of dyes includes an electron donating and an electron accepting moiety which are in direc
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B. G. Nikolaev N-nitroso compounds (N-NC) has been established in all 40 animal species so far tested [2,3] with varying degrees of susceptibility in different organs including the liver, stomach, oesophagus, intestines, bladder, brain, lung and kidney. Depending on the experimental conditions a marked degree of
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