雪城大学学位证购买【仿证微CXFK69】van
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11: 7.22 Methods of Computation
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►For a comprehensive survey of computational methods for the functions treated in this chapter, see van der Laan and Temme (1984, Ch. V).
12: 27.18 Methods of Computation: Primes
13: 34.12 Physical Applications
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►For applications in nuclear structure, see de-Shalit and Talmi (1963); in atomic spectroscopy, see Biedenharn and van Dam (1965, pp. 134–200), Judd (1998), Sobelman (1992, Chapter 4), Shore and Menzel (1968, pp. 268–303), and Wigner (1959); in molecular spectroscopy and chemical reactions, see Burshtein and Temkin (1994, Chapter 5), and Judd (1975).
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14: 31.15 Stieltjes Polynomials
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►The are called Van Vleck polynomials and the corresponding
Stieltjes polynomials.
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31.15.2
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►If is a zero of the Van Vleck polynomial , corresponding to an th degree Stieltjes polynomial , and are the zeros of (the derivative of ), then is either a zero of or a solution of the equation
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►See Marden (1966), Alam (1979), and Al-Rashed and Zaheer (1985) for further results on the location of the zeros of Stieltjes and Van Vleck polynomials.
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15: Staff
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Tom H. Koornwinder, Universiteit van Amsterdam, Chap. 18
Tom H. Koornwinder, Universiteit van Amsterdam, for Chap. 18
16: 14.31 Other Applications
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►Applications of toroidal functions include expansion of vacuum magnetic fields in stellarators and tokamaks (van Milligen and López Fraguas (1994)), analytic solutions of Poisson’s equation in channel-like geometries (Hoyles et al. (1998)), and Dirichlet problems with toroidal symmetry (Gil et al. (2000)).
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