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  • 1980-1984  (2)
  • 1
    Electronic Resource
    Electronic Resource
    The asymptotic behavior of Hermite-Padé polynomials (1982)
    Springer
    Circuits, systems and signal processing 1 (1982), S. 305-309 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We present speculations on the asymptotic behavior of Hermite-Padé polynomials of type I constructed from a set of functions with common branch points. The proposed form is consistent with all known results and numerical work.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01599014
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Continuation of partial-wave two-cluster atomic scattering amplitudes (1980)
    Springer
    Communications in mathematical physics 72 (1980), S. 1-13 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown, with some restrictions, that on-shell two-cluster partial-wave scattering amplitudes for atomic systems whose particles interact via two-body Coulomb potentials have analytic continuations in the complex energy plane below the physical part of the real axis. The result is proved only for energies lower than any three (or more) cluster threshold. Poles of the amplitudes can occur only at discrete eigenvalues of the rotated Hamiltonian which may be reached by continuation along the same path. The method of proof uses analyticity related to a generalized scaling transformation and the boost transformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01200107
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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