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11—20 of 109 matching pages
11: 21.9 Integrable Equations
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►These parameters, including , are not free: they are determined by a compact, connected Riemann surface (Krichever (1976)), or alternatively by an appropriate initial condition (Deconinck and Segur (1998)).
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12: Bibliography F
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Portable Special Function Routines.
In Portability of Numerical Software (Oak Brook, Illinois, 1976), W. R. Cowell (Ed.),
Lecture Notes in Computer Science, Vol. 57, pp. 452–483.
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13: Bibliography M
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Hypergeometric Functions.
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Methods and Programs for Mathematical Functions.
Ellis Horwood Ltd., Chichester.
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14: 18.21 Hahn Class: Interrelations
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15: Bibliography E
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Painlevé transcendent describes quantum correlation function of the antiferromagnet away from the free-fermion point.
J. Phys. A 29 (17), pp. 5619–5626.
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16: Bibliography C
17: Bibliography L
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An efficient derivative-free method for solving nonlinear equations.
ACM Trans. Math. Software 11 (3), pp. 250–262.
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Numerical Evaluation of Special Functions.
In Mathematics of Computation 1943–1993: A Half-Century of
Computational Mathematics (Vancouver, BC, 1993),
Proc. Sympos. Appl. Math., Vol. 48, pp. 79–125.
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18: 28.33 Physical Applications
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►We shall derive solutions to the uniform, homogeneous, loss-free, and stretched elliptical ring membrane with mass per unit area, and radial tension per unit arc length.
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19: 31.7 Relations to Other Functions
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►Other reductions of to a , with at least one free parameter, exist iff the pair takes one of a finite number of values, where .
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