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KIAM Preprint № 141, Moscow, 2017
Authors: Lysov V. G.
On Hermite-Pade approximants for the product of two logarithms
Abstract:
The Hermite-Pade approximants for systems of functions, containing ln (1 + 1 / z)ln (1-1 / z) are considered. The research is motivated by the number-theoretic applications related to diophantine approximations of the values of certain G-functions. Two constructions are considered, for which it is possible to find an explicit form of Hermite-Pade approximants. Their asymptotic behavior is studied and convergence is proved.
Keywords:
multiple orthogonal polynomials, vector equilibrium problem, irrationality measure
Publication language: russian,  pages: 24
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Lysov Vladimir Genrikhovich,  KIAM RAS