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
