Kelvin ship-wave pattern
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1: 36.13 Kelvin’s Ship-Wave Pattern
§36.13 Kelvin’s Ship-Wave Pattern
… ► ►For further information see Lord Kelvin (1891, 1905) and Ursell (1960, 1994).2: Bibliography U
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On Kelvin’s ship-wave pattern.
J. Fluid Mech. 8 (3), pp. 418–431.
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3: Bibliography L
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Popular Lectures and Addresses.
Vol. 3, pp. 481–488.
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Deep water ship-waves.
Phil. Mag. 9, pp. 733–757.
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4: 10.62 Graphs
5: 10.61 Definitions and Basic Properties
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§10.61(i) Definitions
… ►When suffices on , , , and are usually suppressed. … ►§10.61(ii) Differential Equations
… ►§10.61(iii) Reflection Formulas for Arguments
… ►§10.61(iv) Reflection Formulas for Orders
…6: 10.64 Integral Representations
§10.64 Integral Representations
►Schläfli-Type Integrals
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10.64.2
►See Apelblat (1991) for these results, and also for similar representations for , , and their -derivatives.
7: 10.63 Recurrence Relations and Derivatives
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§10.63(i) , , ,
►Let , denote any one of the ordered pairs: … ►§10.63(ii) Cross-Products
… ►Equations (10.63.6) and (10.63.7) also hold when the symbols and in (10.63.5) are replaced throughout by and , respectively.8: 10.67 Asymptotic Expansions for Large Argument
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§10.67(i) , and Derivatives
… ►The contributions of the terms in , , , and on the right-hand sides of (10.67.3), (10.67.4), (10.67.7), and (10.67.8) are exponentially small compared with the other terms, and hence can be neglected in the sense of Poincaré asymptotic expansions (§2.1(iii)). … ►§10.67(ii) Cross-Products and Sums of Squares in the Case
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10.67.10
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