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KIAM Preprint № 159, Moscow, 2018
Authors: Aptekarev A.I., Tulyakov D.N.
Asymptotical basis of solutions of q-recurrence relations outside of the zone of clustering eigenvalues
Abstract:
A procedure for constructing expansions of the basis of solutions of a four-term recurrence relations with coefficitnts from the ring Z[q,1/q] is described. The fact that outside of the zone of the clustering eigenvalues these expansions are the asymptotical expansions is proven.
Keywords:
q-polynomials, asymptotics of the polynomial sequences, requrrence relations, difference equations
Publication language: russian,  pages: 24
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Aptekarev Alexander Ivanovich,  KIAM RAS
  • Tulyakov Dmitriy Nikolaevich,  KIAM RAS