oscillation of chains
(0.002 seconds)
11—20 of 31 matching pages
11: Bibliography
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Nonlinear chains and Painlevé equations.
Phys. D 73 (4), pp. 335–351.
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Umbral calculus, Bailey chains, and pentagonal number theorems.
J. Combin. Theory Ser. A 91 (1-2), pp. 464–475.
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Bailey’s Transform, Lemma, Chains and Tree.
In Special Functions 2000: Current Perspective and Future
Directions (Tempe, AZ), J. Bustoz, M. E. H. Ismail, and S. K. Suslov (Eds.),
NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 1–22.
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12: 1.4 Calculus of One Variable
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Chain Rule
…13: 1.5 Calculus of Two or More Variables
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Chain Rule
…14: 12.17 Physical Applications
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►Dean (1966) describes the role of PCFs in quantum mechanical systems closely related to the one-dimensional harmonic oscillator.
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15: 36.13 Kelvin’s Ship-Wave Pattern
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►When , that is, everywhere except close to the ship, the integrand oscillates rapidly.
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16: Bibliography M
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New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems.
J. Math. Phys. 54 (10), pp. Paper 102102, 12 pp..
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Connection between quantum systems involving the fourth Painlevé transcendent and -step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial.
J. Math. Phys. 57 (5), pp. Paper 052101, 15 pp..
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Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems.
Proc. Nat. Acad. Sci. U .S. A. 96 (20), pp. 11085–11089.
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Applying -Laguerre polynomials to the derivation of -deformed energies of oscillator and Coulomb systems.
Romanian Reports in Physics 57 (1), pp. 25–34.
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17: Bibliography N
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Eigenstates, coherent states, and uncertainty products for the Morse oscillator.
Phys. Rev. A (3) 19 (2), pp. 438–444.
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18: 32.2 Differential Equations
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►When this is a nonlinear harmonic oscillator.
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