Eigenvectors of Open Bazhanov-Stroganov Quantum Chain

In this contribution we give an explicit formula for the eigenvectors of Hamil- tonians of open Bazhanov-Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An( ) which is upper-left matrix element of monodromy matrix built from the cyclic L-operators. The formulas for the eigenvec- tors are derived using iterative procedure by Kharchev and Lebedev and given in terms of wp(s)-function which is a root of unity analogue of q-function.

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