poristic polygon constructions
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31—40 of 67 matching pages
31: Bibliography K
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An algebraic-geometrical construction of the Zakharov-Shabat equations and their periodic solutions.
Sov. Math. Doklady 17, pp. 394–397.
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Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions.
J. Math. Anal. Appl. 324 (1), pp. 285–303.
32: 29.15 Fourier Series and Chebyshev Series
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►A convenient way of constructing the coefficients, together with the eigenvalues, is as follows.
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33: Mathematical Introduction
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►For all equations and other technical information this Handbook and the DLMF either provide references to the literature for proof or describe steps that can be followed to construct a proof.
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34: 2.9 Difference Equations
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►The construction fails if , that is, when .
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35: 9.11 Products
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►Numerically satisfactory triads of solutions can be constructed where needed on or by inspection of the asymptotic expansions supplied in §9.7.
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36: 13.7 Asymptotic Expansions for Large Argument
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►Corresponding error bounds for (13.7.2) can be constructed by combining (13.2.41) with (13.7.4)–(13.7.9).
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37: 16.3 Derivatives and Contiguous Functions
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►Other versions of these identities can be constructed with the aid of the operator identity
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38: 23.20 Mathematical Applications
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►The geometric nature of this construction is illustrated in McKean and Moll (1999, §2.14), Koblitz (1993, §§6, 7), and Silverman and Tate (1992, Chapter 1, §§3, 4): each of these references makes a connection with the addition theorem (23.10.1).
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