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KIAM Preprint № 1, Moscow, 2013
Authors: Aptekarev A. I., Tulyakov D. N.
Main term of asymptotics of the solutions of the four-terms recurrence relations
Abstract:
In the preprint a theorem on asymptotics of solutions of the higher order difference equations is stated and proven. We deal with four-term recurrences which coefficients are growing, i.e. we are in a situation where the classical theorems of Poincare and Perron cannot be applied.
Keywords:
Asymptotical analysis; difference equations; recurrence relations; Hermite-Pade approximants
Publication language: russian,  pages: 20
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Aptekarev Alexander Ivanovich,  KIAM RAS
  • Tulyakov Dmitriy Nikolaevich,  KIAM RAS