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The radius of convergence of the Lamé function
2019We consider the radius of convergence of a Lamé function, and we show why Poincaré-Perron theorem is not applicable to the Lamé equation.
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Maximum radius of convergence perturbation theory
The Journal of Chemical Physics, 2000An ab initio method is introduced, called the maximum radius of convergence (MAXRc) perturbation theory, that exploits the added degrees of freedom permitted with flexible energy denominator perturbation theory [J. Chem. Phys. 109, 7725 (1998)] by defining the energy-denominator factors of a Rayleigh–Schrödinger perturbative expansion to be ...
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Variational bounds on the radius of convergence of the born series
Chemical Physics, 1973Abstract The radius of convergence of the Born series for potential scattering problems is discussed in terms of the eigen-values of the scattering integral equation. Variational procedures yielding upper and lower bounds for these eigen-values are introduced.
David J. Malik, John H. Weare
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The radius of convergence of dynamical mean-field theory
Physica B: Condensed Matter, 2002The dynamical mean-field theory (DMFT) maps the periodic Anderson-model for infinite U onto a single impurity model with an effective band. This effective band is approximately described by a self-avoiding loop through the lattice with a local scattering matrix and can be written as a power series in that matrix times the unperturbed nearest neighbor ...
Hellmut Keiter, Dirk Otto
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Equation of State Beyond the Radius of Convergence of the Virial Expansion
Physical Review Letters, 2012The well-known problem of the virial expansion low-density limitation is considered within Mayer's cluster expansion method. The expression for the configuration integral and the corresponding equation of state are presented based on this approach but not limited by the convergence radius of the series for density and activity. When taking into account
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THE RADIUS OF CONVERGENCE OF POWER PRODUCT EXPANSIONS
Analysis, 1991Arnold Knopfmacher, Lutz Lucht
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Convergence radius of Osada’s method under center-Hölder continuous condition
Applied Mathematics and Computation, 2014Yongzhong Song
exaly

