Asymptotical basis of solutions of q-recurrence relations outside of the zone of clustering eigenvalues

Author:

Aptekarev Alexander Ivanovich1,Tulyakov Dmitriy Nikolaevich1

Affiliation:

1. Keldysh Institute of Applied Mathematics

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference14 articles.

1. Stavros Garoufalidis and Thang T. Q. Le, The colored Jones function is q-holonomic, Geom. Topol. 9 (2005), 1253–1293

2. В. В. Прасолов, А. Б. Сосинский, Узлы, зацепления, косы и трёхмерные многообразия, М.: МЦНМО, 1997. – 352 с.

3. Edward Witten. Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), no.3, 351-399.

4. R. M. Kashaev, The hyperbolic volume of knots from quantum dilogarithm, Lett. Math. Phys. 39 (1997), 265-269, arXiv: q-alg/9601025v2.

5. Grisha Perelman, Ricci flow with surgery on three-manifolds, (2003), arXiv: math/0303109v1.

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